Isotropic restriction in Group Field Theory condensates
... D-dimensional manifold. The metric is supposed to be flat (that means that the curvature vanishes) everywhere except on the (D − 2)-simplices called the hinges. Curvature can be thought as generated on the hinges thanks to the notion of deficit angle. For example, the building blocks of a 2d-triangu ...
... D-dimensional manifold. The metric is supposed to be flat (that means that the curvature vanishes) everywhere except on the (D − 2)-simplices called the hinges. Curvature can be thought as generated on the hinges thanks to the notion of deficit angle. For example, the building blocks of a 2d-triangu ...
Renormalization without infinities – an elementary tutorial
... and hence have the status of toy models only. But they show many of the renormalization effects arising in realistic quantum field theories such as quantum chromodynamics: running coupling constants, dimensional transmutation, the renormalization group, and renormalization scheme dependent results a ...
... and hence have the status of toy models only. But they show many of the renormalization effects arising in realistic quantum field theories such as quantum chromodynamics: running coupling constants, dimensional transmutation, the renormalization group, and renormalization scheme dependent results a ...
arXiv:gr-qc/9901024 v1 8 Jan 1999 - Philsci
... atic. As we shall see in Section 2, the general notion of emergence is vague, and contentious. And once we settle on some such notion, there is a wide and disparate range of quantum gravity programmes to consider. Furthermore, most of these programmes face hard conceptual problems (as well as techn ...
... atic. As we shall see in Section 2, the general notion of emergence is vague, and contentious. And once we settle on some such notion, there is a wide and disparate range of quantum gravity programmes to consider. Furthermore, most of these programmes face hard conceptual problems (as well as techn ...
The Asymptotic Safety Scenario in Quantum Gravity
... rationale behind this intuition is that all known (microscopic) matter is quantized that way, and using an off-shell matter configuration as the source of the Einstein field equations is in general inconsistent, unless the geometry is likewise off-shell. Moreover, relativistic quantum field theory s ...
... rationale behind this intuition is that all known (microscopic) matter is quantized that way, and using an off-shell matter configuration as the source of the Einstein field equations is in general inconsistent, unless the geometry is likewise off-shell. Moreover, relativistic quantum field theory s ...
hep-th/9303127 PDF
... and are not cured automatically by a lattice discretization. . Reparametrization invariance is the basic symmetry of GR. What does this symmetry become in a discretized theory, where space-time is not continuous? If it is broken by the discretization, how to ensure that it is restored (at least at l ...
... and are not cured automatically by a lattice discretization. . Reparametrization invariance is the basic symmetry of GR. What does this symmetry become in a discretized theory, where space-time is not continuous? If it is broken by the discretization, how to ensure that it is restored (at least at l ...
Effective Field Theory, Past and Future
... because there was no reason to trust the lowest order of perturbation theory, and no way to sum the perturbation series. What was popular was to exploit tools such as current algebra and dispersion relations that did not rely on assumptions about particular Lagrangians. The best explanation that I c ...
... because there was no reason to trust the lowest order of perturbation theory, and no way to sum the perturbation series. What was popular was to exploit tools such as current algebra and dispersion relations that did not rely on assumptions about particular Lagrangians. The best explanation that I c ...
Wormholes in Spacetime and the Constants of Nature
... to low-energy processes. Large wormholes, if their effects are unsuppressed, would be hard to reconcile with the well-tested successes of local field theory in describing low-energy physics [20,16,18]. One may also worry that assumptions similar to those that lead to the successful prediction A = 0 ...
... to low-energy processes. Large wormholes, if their effects are unsuppressed, would be hard to reconcile with the well-tested successes of local field theory in describing low-energy physics [20,16,18]. One may also worry that assumptions similar to those that lead to the successful prediction A = 0 ...
APPLICATIONS OF NIELSEN THEORY TO DYNAMICS
... Abstract. In this talk, we shall look at the application of Nielsen theory to certain questions concerning the “homotopy minimum” or “homotopy stability” of periodic orbits under deformations of the dynamical system. These applications are mainly to the dynamics of surface homeomorphisms, where the ...
... Abstract. In this talk, we shall look at the application of Nielsen theory to certain questions concerning the “homotopy minimum” or “homotopy stability” of periodic orbits under deformations of the dynamical system. These applications are mainly to the dynamics of surface homeomorphisms, where the ...
Holographic Entanglement Entropy - Crete Center for Theoretical
... ① Introduction– from cond-mat viewpoint AdS/CFT is a very powerful method to understand strongly coupled condensed matter systems. Especially, the calculations become most tractable in the strong coupling and large N limit of gauge theories. In this limit, the AdS side is given by a classical gravi ...
... ① Introduction– from cond-mat viewpoint AdS/CFT is a very powerful method to understand strongly coupled condensed matter systems. Especially, the calculations become most tractable in the strong coupling and large N limit of gauge theories. In this limit, the AdS side is given by a classical gravi ...
Edge Reconstruction in the ¼ 2=3 Fractional Quantum Hall State
... FIG. 2 (color online). The renormalization group (RG) flow. (a) The bare edge channels. (b) Under RG flow, the three inner channels are renormalized to two upstream neutral modes (as denoted by the dashed lines) and one downstream 1=3-like charged modes. (The ordering of the three modes is arbitrary ...
... FIG. 2 (color online). The renormalization group (RG) flow. (a) The bare edge channels. (b) Under RG flow, the three inner channels are renormalized to two upstream neutral modes (as denoted by the dashed lines) and one downstream 1=3-like charged modes. (The ordering of the three modes is arbitrary ...
Flipped SU(5) - cosmology - Arizona State University
... flipped unification with vectorlike fields by James Maxin • Minimization of the scalar Higgs potential with respect to both the up-type and down-type Higgs fields yields two conditions on the parameter space. • The scale of the Higgs VEVs is known however, from the Fermi coupling (or alternatively t ...
... flipped unification with vectorlike fields by James Maxin • Minimization of the scalar Higgs potential with respect to both the up-type and down-type Higgs fields yields two conditions on the parameter space. • The scale of the Higgs VEVs is known however, from the Fermi coupling (or alternatively t ...
Renormalization of the Drude Conductivity by the Electron-Phonon Interaction
... interacting with phonons is accurately described by the usual Boltzmann equation without any renormalization factors. Therefore such coefficients as dc electrical conductivity, thermopower, and thermal conductivity would not be affected by the electron-phonon interaction. Up to now their conclusions ...
... interacting with phonons is accurately described by the usual Boltzmann equation without any renormalization factors. Therefore such coefficients as dc electrical conductivity, thermopower, and thermal conductivity would not be affected by the electron-phonon interaction. Up to now their conclusions ...
Higher-derivative Lagrangians, nonlocality, problems, and solutions
... just as easily if only a finite number of perturbative terms are known. For this reason it can equally be applied to (with a small expansion system any higher-order coefficient) without knowing whether or not the theory is part of an infinite expansion. This is where the application of perturbative ...
... just as easily if only a finite number of perturbative terms are known. For this reason it can equally be applied to (with a small expansion system any higher-order coefficient) without knowing whether or not the theory is part of an infinite expansion. This is where the application of perturbative ...
Fixed Point in Minimal Spaces
... field, there have been many representative approaches method by orbits [1]. In [2], authors used fixed point theory to find a method to estimate the optimum neighborhood with the chosen gain matrix. In this paper, we prove some results too stunning not be in the spotlight. These results are typical ...
... field, there have been many representative approaches method by orbits [1]. In [2], authors used fixed point theory to find a method to estimate the optimum neighborhood with the chosen gain matrix. In this paper, we prove some results too stunning not be in the spotlight. These results are typical ...
Coarse graining and renormalization: the bottom up approach
... Spin foams and space time atoms. Coarse graining without a scale. The importance of refining states. Tensor network coarse graining algorithms. Application to spin foams / spin nets. Classifying (symmetry protected) phases. New representations and vacua in loop quantum gravity Expanding the theory a ...
... Spin foams and space time atoms. Coarse graining without a scale. The importance of refining states. Tensor network coarse graining algorithms. Application to spin foams / spin nets. Classifying (symmetry protected) phases. New representations and vacua in loop quantum gravity Expanding the theory a ...
M Theory Model of a Big Crunch/Big Bang Transition Abstract
... the eleven-dimensional theory is well behaved near t = 0 and explain how the apparent singularity in the dimensionally-reduced string theory is resolved in the membrane picture. Then, Section VIII makes clear the difference between our calculation, an expansion in inverse powers of α0 , versus Einst ...
... the eleven-dimensional theory is well behaved near t = 0 and explain how the apparent singularity in the dimensionally-reduced string theory is resolved in the membrane picture. Then, Section VIII makes clear the difference between our calculation, an expansion in inverse powers of α0 , versus Einst ...
Thermodynamics of the high temperature Quark-Gluon - IPhT
... These are at present the unique tools allowing a detailed study of the transition region where various interesting phenomena are taking place, such as colour deconfinement or chiral symmetry restoration. In these lectures, we shall not consider this transition region, but focus rather on the high te ...
... These are at present the unique tools allowing a detailed study of the transition region where various interesting phenomena are taking place, such as colour deconfinement or chiral symmetry restoration. In these lectures, we shall not consider this transition region, but focus rather on the high te ...
![arXiv:1008.1839v2 [hep-th] 12 Aug 2010](http://s1.studyres.com/store/data/016703481_1-ea69a133ddf2690980f0d44baa68ff8f-300x300.png)
arXiv:1008.1839v2 [hep-th] 12 Aug 2010
... gauge-invariant Vilkovisky-DeWitt method [8] for studying the gravitational corrections to the power-law running of Abel and non-Abel gauge couplings. We derive the first gauge-invariant nonzero power-law correction, which is asymptotically free, in support of what Robinson and Wilczek hoped. We als ...
... gauge-invariant Vilkovisky-DeWitt method [8] for studying the gravitational corrections to the power-law running of Abel and non-Abel gauge couplings. We derive the first gauge-invariant nonzero power-law correction, which is asymptotically free, in support of what Robinson and Wilczek hoped. We als ...
Quantum-teleportation benchmarks for independent and identically
... (Mn ,Pn ) for which the reconstructed state ωn := Pn ◦ Mn (ρ ⊗n ) is as close as possible to the input state (i.e., ωn − ρ ⊗n 1 is small). The figure of merit is based on the trace norm distance between the input and output states. We show that asymptotically with n this problem is equivalent to t ...
... (Mn ,Pn ) for which the reconstructed state ωn := Pn ◦ Mn (ρ ⊗n ) is as close as possible to the input state (i.e., ωn − ρ ⊗n 1 is small). The figure of merit is based on the trace norm distance between the input and output states. We show that asymptotically with n this problem is equivalent to t ...
pptx - Departamento de Matemáticas
... A deeper understanding of the physical meaning and generalization of the renormalization process, which goes beyond the dilatation group of conventional renormalizable theories, came from condensed matter physics. Leo P. Kadanoff's paper in 1966 proposed the "block-spin" renormalization group.[4] T ...
... A deeper understanding of the physical meaning and generalization of the renormalization process, which goes beyond the dilatation group of conventional renormalizable theories, came from condensed matter physics. Leo P. Kadanoff's paper in 1966 proposed the "block-spin" renormalization group.[4] T ...
1 GAUGE GRAVITY AND THE UNIFICATION OF NATURAL
... A weaker vision than (i) and (ii) involving unifications of [II] and/or [IV]. A pure form of this ideal can be found in Planck's work for a theory of 'General Dynamics' (see, Planck 1908a,b; Goldberg 1976; Liu 1994a), in which he explicitly challenged the electromagnetic program by proposing a unifi ...
... A weaker vision than (i) and (ii) involving unifications of [II] and/or [IV]. A pure form of this ideal can be found in Planck's work for a theory of 'General Dynamics' (see, Planck 1908a,b; Goldberg 1976; Liu 1994a), in which he explicitly challenged the electromagnetic program by proposing a unifi ...
Infinite-randomness quantum critical points induced by dissipation
... quantum many-particle systems. At zero-temperature quantum phase transitions, the interplay between large-scale quantum fluctuations and random fluctuations leads to much more dramatic disorder effects than at classical thermal phase transitions, resulting in various exotic phenomena such as quantum ...
... quantum many-particle systems. At zero-temperature quantum phase transitions, the interplay between large-scale quantum fluctuations and random fluctuations leads to much more dramatic disorder effects than at classical thermal phase transitions, resulting in various exotic phenomena such as quantum ...
String Theory as a Theory of Quantum Gravity
... with other degrees of freedom. Even when we can talk about a classical geometry, there is a high redundancy in description of observable quantities, but as long as the symmetries of string theory are not completely understood it is difficult to disentangle observables and gauge symmetries, describe ...
... with other degrees of freedom. Even when we can talk about a classical geometry, there is a high redundancy in description of observable quantities, but as long as the symmetries of string theory are not completely understood it is difficult to disentangle observables and gauge symmetries, describe ...
Quantum Probabilistic Dyadic Second-Order Logic⋆
... express the correctness of those quantum algorithms (such as quantum search) that make essential use of quantum probabilities. A remark is in order regarding the fact that each given program in our syntax, and so each given sentence, uses only a given number of qubits (and thus it refers to a Hilber ...
... express the correctness of those quantum algorithms (such as quantum search) that make essential use of quantum probabilities. A remark is in order regarding the fact that each given program in our syntax, and so each given sentence, uses only a given number of qubits (and thus it refers to a Hilber ...