Functional RG for few
... consequence of nonlocalities introduced by sharp cut-off [Morris, hep-th/9308265] → will need to be addressed in matter calculations beyond current level of truncation Input at starting scale K → effective two-body potential ...
... consequence of nonlocalities introduced by sharp cut-off [Morris, hep-th/9308265] → will need to be addressed in matter calculations beyond current level of truncation Input at starting scale K → effective two-body potential ...
New Methods in Computational Quantum Field Theory
... • Precision studies of the new boson (and of the top quark) will play a very important role in probing for physics beyond the Standard Model • Nature has been very kind to experimenters in fixing the mass of the new boson: – there are lots of decay modes to measure – there are a number of ...
... • Precision studies of the new boson (and of the top quark) will play a very important role in probing for physics beyond the Standard Model • Nature has been very kind to experimenters in fixing the mass of the new boson: – there are lots of decay modes to measure – there are a number of ...
Chapter 15 External field problems
... 15.3 Scattering in Field Theory Let us now turn to the corresponding problem in field theory. Let Φ(t, x) denote an interacting field. It could be a photon field in interaction with an external current, an electron-positron field interacting with a gauge field or any other field interacting with a s ...
... 15.3 Scattering in Field Theory Let us now turn to the corresponding problem in field theory. Let Φ(t, x) denote an interacting field. It could be a photon field in interaction with an external current, an electron-positron field interacting with a gauge field or any other field interacting with a s ...
Higgs - mechanism
... minimal: SM + gravity higher dimensional theory ? grand unification ? ( almost) second order electroweak phase transition guarantees ( approximate ) fixed point of flow needed : deviation from fixed point is an irrelevant parameter (A>2) ...
... minimal: SM + gravity higher dimensional theory ? grand unification ? ( almost) second order electroweak phase transition guarantees ( approximate ) fixed point of flow needed : deviation from fixed point is an irrelevant parameter (A>2) ...
A Weak Gravity Conjecture for Scalar Field Theories
... field theories. In this class of theories at least, “gravity is the weakest” even in the appearance of scalars. We will study scalar field theories with soliton solutions. we will focus our attention on a special class of such theories. In these theories, the coefficient of the mass term is ± 12 µ2 ...
... field theories. In this class of theories at least, “gravity is the weakest” even in the appearance of scalars. We will study scalar field theories with soliton solutions. we will focus our attention on a special class of such theories. In these theories, the coefficient of the mass term is ± 12 µ2 ...
Quantum Gravity Lattice
... There are important nontrivial constraints on the lattice gravitational measure, ...
... There are important nontrivial constraints on the lattice gravitational measure, ...
Last section - end of Lecture 4
... where here β is the QED beta function. We see in this calculation the prototype of what is happening in gravity. If we think of the field strength tensor Fµν as a “curvature”, we have curvature-squared terms with a non-local factor of log and curvaturecubed term with a non-local factor of 1/. Bot ...
... where here β is the QED beta function. We see in this calculation the prototype of what is happening in gravity. If we think of the field strength tensor Fµν as a “curvature”, we have curvature-squared terms with a non-local factor of log and curvaturecubed term with a non-local factor of 1/. Bot ...
Effective Field Theory of General Relativity
... -gauge fixing, ghosts - -Background field method ‘t Hooft Veltman -retains symmetries of GR Background field: ...
... -gauge fixing, ghosts - -Background field method ‘t Hooft Veltman -retains symmetries of GR Background field: ...
Discrete-continuous and classical-quantum
... quantum.. Moreover modern experiments in atomic physics reveal more and more that quantum discreteness can be observed in real situations. Indeed, although it has always been considered that, due to the smallness of th Planck constant and the large number of particles involved in experiments, discre ...
... quantum.. Moreover modern experiments in atomic physics reveal more and more that quantum discreteness can be observed in real situations. Indeed, although it has always been considered that, due to the smallness of th Planck constant and the large number of particles involved in experiments, discre ...
What every physicist should know about
... the position at which the operator O is inserted. A state would appear at the end of an external line in the Feynman graph. But an operator O such as the one describing a perturbation in the spacetime metric appears at an interior point in the graph, as shown in figure 3a. Since states enter at ends ...
... the position at which the operator O is inserted. A state would appear at the end of an external line in the Feynman graph. But an operator O such as the one describing a perturbation in the spacetime metric appears at an interior point in the graph, as shown in figure 3a. Since states enter at ends ...
BLACK HOLES AT CERN
... We speculate that strong gravity exists only on or within a new type of horizon formed in the “endpoint” of black hole evaporation. 1) Why is gravity seen at all from stars and planets, everyday objects and (presumably) from fundamental particles? Why would the basic underpinnings of cosmology (GR) ...
... We speculate that strong gravity exists only on or within a new type of horizon formed in the “endpoint” of black hole evaporation. 1) Why is gravity seen at all from stars and planets, everyday objects and (presumably) from fundamental particles? Why would the basic underpinnings of cosmology (GR) ...
What every physicist should know about string theory
... the position at which the operator O is inserted. A state would appear at the end of an external line in the Feynman graph. But an operator O such as the one describing a perturbation in the spacetime metric appears at an interior point in the graph, as shown in figure 3a. Since states enter at ends ...
... the position at which the operator O is inserted. A state would appear at the end of an external line in the Feynman graph. But an operator O such as the one describing a perturbation in the spacetime metric appears at an interior point in the graph, as shown in figure 3a. Since states enter at ends ...
TALK - ECM-UB
... • In the physical mass-dependent renormalization scheme an arbitrary parameter μ is usually traded for a Euclidean momentum p. • In QCD, for example, one writes an RG equation with respect to the momentum scaling parameter λ, p→ λp, and eliminates the derivatives with respect to μ. • The trade is pe ...
... • In the physical mass-dependent renormalization scheme an arbitrary parameter μ is usually traded for a Euclidean momentum p. • In QCD, for example, one writes an RG equation with respect to the momentum scaling parameter λ, p→ λp, and eliminates the derivatives with respect to μ. • The trade is pe ...
Quantum Gravity: the view from particle physics
... be that we should not ignore the hints from particle physics in our search for quantum gravity! I do not think I need to tell you why a theory of quantum gravity is needed, as some of the key arguments were already reviewed in other talks at this conference. There is now ample evidence that both Gen ...
... be that we should not ignore the hints from particle physics in our search for quantum gravity! I do not think I need to tell you why a theory of quantum gravity is needed, as some of the key arguments were already reviewed in other talks at this conference. There is now ample evidence that both Gen ...
5 The Renormalization Group
... Even a humble glass of pure water consists of countless H2 O molecules, which are made from atoms that involve many electrons perpetually executing complicated orbits around a dense nucleus, the nucleus itself is a seething mass of protons and neutrons glued together by pion exchange, these hadrons ...
... Even a humble glass of pure water consists of countless H2 O molecules, which are made from atoms that involve many electrons perpetually executing complicated orbits around a dense nucleus, the nucleus itself is a seething mass of protons and neutrons glued together by pion exchange, these hadrons ...
Spontaneous Dimensional Reduction in Quantum Gravity
... But while this convergence suggests that the phenomenon is real, the underlying physical mechanism remains obscure. The answer may require a full quantum theory of gravity, but two interesting suggestions have been made: 1. Scale invariance: For general relativity to be “asymptotic safe” [16], its r ...
... But while this convergence suggests that the phenomenon is real, the underlying physical mechanism remains obscure. The answer may require a full quantum theory of gravity, but two interesting suggestions have been made: 1. Scale invariance: For general relativity to be “asymptotic safe” [16], its r ...
Holography in Classical and Quantum Gravity
... Fields in spacetime are dual to operators in the boundary theory. Local properties of the gauge theory are related to the asymptotic behavior of the gravity solution. ...
... Fields in spacetime are dual to operators in the boundary theory. Local properties of the gauge theory are related to the asymptotic behavior of the gravity solution. ...
From B-Modes to Quantum Gravity and Unification of Forces∗
... The mathematics of nonabelian symmetry requires that the fundamental coupling constants of the three subtheories in SO(10) → SU (3) × SU (2) × U (1) are equal. As observed, they are not. Quantum field theory teaches us, however, that the perceived strength of a coupling depends on the characteristic ...
... The mathematics of nonabelian symmetry requires that the fundamental coupling constants of the three subtheories in SO(10) → SU (3) × SU (2) × U (1) are equal. As observed, they are not. Quantum field theory teaches us, however, that the perceived strength of a coupling depends on the characteristic ...
Effective Field Theory of Dissipative Fluids
... ideal fluid action dated back to G. Herglotz in 1911. Covariant was used by Taub in 1954. Rediscovered in 2005 by Dubovsky, Gregoire, Nicolis and Rattazzi in hep-th/0512260 and further developed by Dubovsky, Hui, Nicolis and Son in arXiv:1107.0731 , ...... Nickel and Son showed ...
... ideal fluid action dated back to G. Herglotz in 1911. Covariant was used by Taub in 1954. Rediscovered in 2005 by Dubovsky, Gregoire, Nicolis and Rattazzi in hep-th/0512260 and further developed by Dubovsky, Hui, Nicolis and Son in arXiv:1107.0731 , ...... Nickel and Son showed ...
![arXiv:1203.2158v1 [hep-th] 9 Mar 2012 The “tetrad only” theory](http://s1.studyres.com/store/data/016613184_1-9fc43c0ba152dfbab9c386708b4475ee-300x300.png)
arXiv:1203.2158v1 [hep-th] 9 Mar 2012 The “tetrad only” theory
... observed classical limit, the Asymptotic Safety program [10–14]. One of its advantages as compared to a “quantization” is that it depends on the classical input data to a lesser extent. The idea is to fix a certain theory space of action functionals, a coarse graining flow of it, and then search for ...
... observed classical limit, the Asymptotic Safety program [10–14]. One of its advantages as compared to a “quantization” is that it depends on the classical input data to a lesser extent. The idea is to fix a certain theory space of action functionals, a coarse graining flow of it, and then search for ...
Stringhe, buchi neri e coerenza quantistica
... We have been able to recast the main results of ACV in the form of an approximate, but exactly unitary, Smatrix whose range of validity covers a large region of the kinematic energy--angular-momentum plane; We have studied the nature of the dominant final states in a window of energy and impact ...
... We have been able to recast the main results of ACV in the form of an approximate, but exactly unitary, Smatrix whose range of validity covers a large region of the kinematic energy--angular-momentum plane; We have studied the nature of the dominant final states in a window of energy and impact ...
The Hilbert Space of Quantum Gravity Is Locally Finite
... description of gravity. The fundamental description could correspond to a particular gauge, in which the symmetries of the theory weren’t manifest, even though they could be restored once the effective theory had emerged. It is dangerous to start with symmetries of the sought-after continuum theory, ...
... description of gravity. The fundamental description could correspond to a particular gauge, in which the symmetries of the theory weren’t manifest, even though they could be restored once the effective theory had emerged. It is dangerous to start with symmetries of the sought-after continuum theory, ...
on Atomic and Molecular Physics
... appropriate Maslov indices, jli,- = 1/2 in this case. The Gutzwiller approximation (2) consists of replacing the action functional and the winding numbers by their values at the periodic orbit. This describes the energy shell correctly to first order near the PO, J2 = SpoN ~ E - \°J\ - 3 ° h as demo ...
... appropriate Maslov indices, jli,- = 1/2 in this case. The Gutzwiller approximation (2) consists of replacing the action functional and the winding numbers by their values at the periodic orbit. This describes the energy shell correctly to first order near the PO, J2 = SpoN ~ E - \°J\ - 3 ° h as demo ...