Effective Field Theory Approach to Gravitationally Induced
... with mass 1 kg in such a superposition state, the gravitationally induced decoherence rate is decohere 108 sec1 . Thus, even leaving aside the technical challenges due to the presence of everyday environments in preparing such macroscopic matter superposition states, the cosmic gravitational ba ...
... with mass 1 kg in such a superposition state, the gravitationally induced decoherence rate is decohere 108 sec1 . Thus, even leaving aside the technical challenges due to the presence of everyday environments in preparing such macroscopic matter superposition states, the cosmic gravitational ba ...
on the fine structure of spacetime
... zero. This happens when the size7 of the restriction of the operator to subspaces of finite codimension tends to zero when these subspaces decrease (under the natural filtration by inclusion). The corresponding operators are called “compact” and they share with naive infinitesimals all the expected ...
... zero. This happens when the size7 of the restriction of the operator to subspaces of finite codimension tends to zero when these subspaces decrease (under the natural filtration by inclusion). The corresponding operators are called “compact” and they share with naive infinitesimals all the expected ...
Lagrangian, functional integrals, effective action
... diagram as representing a (part of) a physical process, where certain particles with assigned momenta (external edges) interact (vertices) by creation and annihilation of virtual particles (internal edges). The momenta flowing through the graph then represent the physical process. In fact, it is cle ...
... diagram as representing a (part of) a physical process, where certain particles with assigned momenta (external edges) interact (vertices) by creation and annihilation of virtual particles (internal edges). The momenta flowing through the graph then represent the physical process. In fact, it is cle ...
Macroscopic Effects of the Quantum Trace Anomaly
... • Integrating out Matter + … Fields in Fixed Gravitational Background gives the Exact Quantum Effective Action • The possible terms in Sexact[g] can be classified according to their repsonse to local Weyl rescalings g → e2σ g ...
... • Integrating out Matter + … Fields in Fixed Gravitational Background gives the Exact Quantum Effective Action • The possible terms in Sexact[g] can be classified according to their repsonse to local Weyl rescalings g → e2σ g ...
Asymptotic Safety in Quantum Gravity and Diffeomorphic Non
... for the areal radial function ρ(r). The Renormalization Group (RG) improvement of Einstein’s equations is based on the possibility that Quantum Einstein Gravity might be nonperturbatively renormalizable and asymptotically safe due to the presence of interacting ultraviolet fixed points [17]. In this ...
... for the areal radial function ρ(r). The Renormalization Group (RG) improvement of Einstein’s equations is based on the possibility that Quantum Einstein Gravity might be nonperturbatively renormalizable and asymptotically safe due to the presence of interacting ultraviolet fixed points [17]. In this ...
- Sussex Research Online
... total number of these scalar degrees of freedom in the form of Higgs bosons is typically much larger than the number of gauge bosons, so N ¼ N0 þ N1=2 4N1 can be large. In this Letter, we mainly consider supersymmetric grand unified theories since they naively lead to better unification results comp ...
... total number of these scalar degrees of freedom in the form of Higgs bosons is typically much larger than the number of gauge bosons, so N ¼ N0 þ N1=2 4N1 can be large. In this Letter, we mainly consider supersymmetric grand unified theories since they naively lead to better unification results comp ...
Grand unification and enhanced quantum gravitational effects
... Fig. 1); these uncertainties are generically as large as the two-loop corrections to the renormalization group equations that have become part of the standard analysis of grand unification. Our results suggest that low-energy results alone cannot, with any high degree of confidence, either suggest o ...
... Fig. 1); these uncertainties are generically as large as the two-loop corrections to the renormalization group equations that have become part of the standard analysis of grand unification. Our results suggest that low-energy results alone cannot, with any high degree of confidence, either suggest o ...
PAGE Marie Curie actions Intra-European Fellowships Part B
... 1. On the one side (from quantum space to NCG) we aim at finding some characteristic physical effects associated with the NCG description of the Standard Model, also hoping to identify experimental contexts in which these predictions could be tested. During my PhD I have studied the metric aspect of ...
... 1. On the one side (from quantum space to NCG) we aim at finding some characteristic physical effects associated with the NCG description of the Standard Model, also hoping to identify experimental contexts in which these predictions could be tested. During my PhD I have studied the metric aspect of ...
Universalization as a physical guiding principle
... the guiding principle, it should be expressible as a property of spacetime. This has unfortunately not happened despite the quantum theory being over 100 years old. Unlike SR and GR, quantum theory is not complete and I would believe that the completion would come about only when the quantum princip ...
... the guiding principle, it should be expressible as a property of spacetime. This has unfortunately not happened despite the quantum theory being over 100 years old. Unlike SR and GR, quantum theory is not complete and I would believe that the completion would come about only when the quantum princip ...
x - PMF
... • Wave functional Y depends on the three-dimensional metric. It is invariant under coordinate transformation on three-space. • No external time parameter is present anymore – theory is “timeless” •Wheeler-DeWitt equation is hyperbolic •this approach is good candidate for a non-perturbative quantum t ...
... • Wave functional Y depends on the three-dimensional metric. It is invariant under coordinate transformation on three-space. • No external time parameter is present anymore – theory is “timeless” •Wheeler-DeWitt equation is hyperbolic •this approach is good candidate for a non-perturbative quantum t ...
perturbative expansion of chern-simons theory with non
... make positive and negative contributions, respectively, to the shift in k, one must expect that the generalization of c2 (G)/2 for a non-compact semi-simple gauge group is (c2 (K) − c2 (P))/2 (where K and P are regarded as representations of K). This is N for SU (N ) and −2 for the real form SL(N, R ...
... make positive and negative contributions, respectively, to the shift in k, one must expect that the generalization of c2 (G)/2 for a non-compact semi-simple gauge group is (c2 (K) − c2 (P))/2 (where K and P are regarded as representations of K). This is N for SU (N ) and −2 for the real form SL(N, R ...
スライド 1
... It is important to formulate gravitational interaction in a way consistent with quantum mechanics. Perturbative approach to quantum gravity, however, is problematic. Loop corrections give divergences in UV. t’Hooft, Veltman ...
... It is important to formulate gravitational interaction in a way consistent with quantum mechanics. Perturbative approach to quantum gravity, however, is problematic. Loop corrections give divergences in UV. t’Hooft, Veltman ...
Wave Operators for Classical Particle Scattering
... classical central two-body scattering [15] in terms of scattering angle as a function of impact parameter. In the central case, S: jR 6 -»JR 6 will be rotationally invariant; thus S: (α,fe)->(
... classical central two-body scattering [15] in terms of scattering angle as a function of impact parameter. In the central case, S: jR 6 -»JR 6 will be rotationally invariant; thus S: (α,fe)->(
general-relativity as an effective-field theory
... at low energy. In the class of renormalizable field theories, low energy physics is shielded from this problem because the high energy effects occur only in the shifting of a small number of parameters. When these parameters are measured experimentally, and results expressed in terms the measured va ...
... at low energy. In the class of renormalizable field theories, low energy physics is shielded from this problem because the high energy effects occur only in the shifting of a small number of parameters. When these parameters are measured experimentally, and results expressed in terms the measured va ...
Fermion Doubling in Loop Quantum Gravity - UWSpace
... For the last 20 years, it has been known how to couple matter to the theory of loop quantum gravity. However, one of the most simple questions that can be asked about this framework has not been addressed; is there a fermion doubling in loop quantum gravity? This is an exceptionally important issue ...
... For the last 20 years, it has been known how to couple matter to the theory of loop quantum gravity. However, one of the most simple questions that can be asked about this framework has not been addressed; is there a fermion doubling in loop quantum gravity? This is an exceptionally important issue ...
lattice approximations
... Quantum states Quantum states (not necessarily pure states!) are functionals on the observable algebra. On each level of lattice approximation states are represented by positive operators with unital trace: ...
... Quantum states Quantum states (not necessarily pure states!) are functionals on the observable algebra. On each level of lattice approximation states are represented by positive operators with unital trace: ...
Available PDF download
... that Ā(e−1 ) = [Ā(e)]−1 ; and, if the end point of e1 is the starting point of e2 , then Ā(e1 ◦ e2 ) = Ā(e1 ) · Ā(e2 ). Clearly, every smooth connection A is a generalized connection. In fact, the space A of smooth connections has been shown to be dense in Ā (with respect to the natural Gel’fa ...
... that Ā(e−1 ) = [Ā(e)]−1 ; and, if the end point of e1 is the starting point of e2 , then Ā(e1 ◦ e2 ) = Ā(e1 ) · Ā(e2 ). Clearly, every smooth connection A is a generalized connection. In fact, the space A of smooth connections has been shown to be dense in Ā (with respect to the natural Gel’fa ...
Renormalization
... disposed of and forgotten. As we will explain, they parameterize the dependence on quantum fluctuations at short distance scales (or equivalently, high momenta). Historically, it took a long time to reach this understanding. In the 1930’s, when the ultraviolet divergences were first discovered in qu ...
... disposed of and forgotten. As we will explain, they parameterize the dependence on quantum fluctuations at short distance scales (or equivalently, high momenta). Historically, it took a long time to reach this understanding. In the 1930’s, when the ultraviolet divergences were first discovered in qu ...
Gravity Duals for Nonrelativistic Conformal Field
... system. In general, physics in the far infrared is described by a (sometimes trivial) fixed point of the renormalization group. It has been argued that the associated zerotemperature CFT controls a swath of the finite-temperature phase diagram, namely, the region in which the temperature is the only ...
... system. In general, physics in the far infrared is described by a (sometimes trivial) fixed point of the renormalization group. It has been argued that the associated zerotemperature CFT controls a swath of the finite-temperature phase diagram, namely, the region in which the temperature is the only ...
Abstracts
... ABSTRACT: In this talk we address two questions related to repeated measurements performed in unstable systems in the limit of infinite frequency limit. The first one concerns the Zeno dynamics discussed in several contributions to this conference. Given an unstable system we have two ways to achiev ...
... ABSTRACT: In this talk we address two questions related to repeated measurements performed in unstable systems in the limit of infinite frequency limit. The first one concerns the Zeno dynamics discussed in several contributions to this conference. Given an unstable system we have two ways to achiev ...
BHs and effective quantum gravity approaches
... • In more complicated cases one can’t solve Einstein equations exactly and one needs some other criteria. ...
... • In more complicated cases one can’t solve Einstein equations exactly and one needs some other criteria. ...
Here - Lorentz Center
... very common ones are related to graph-like structures. In this presentation we review many aspects and distinct phenomena associated to quantum dynamics in networks. For so, we consider an energy domain Green's function (G) approach. This method is particularly interesting (and surprisingly simple) ...
... very common ones are related to graph-like structures. In this presentation we review many aspects and distinct phenomena associated to quantum dynamics in networks. For so, we consider an energy domain Green's function (G) approach. This method is particularly interesting (and surprisingly simple) ...
QFT II
... 2.4 Renormalisation of QED revisited . . . . . . . . 2.5 The renormalisation scale . . . . . . . . . . . . 2.6 The Callan-Symanzyk (CS) equation . . . . . . 2.7 Computation of β-functions in massless theories 2.8 The running coupling . . . . . . . . . . . . . . . 2.9 RG flow of dimensional operators ...
... 2.4 Renormalisation of QED revisited . . . . . . . . 2.5 The renormalisation scale . . . . . . . . . . . . 2.6 The Callan-Symanzyk (CS) equation . . . . . . 2.7 Computation of β-functions in massless theories 2.8 The running coupling . . . . . . . . . . . . . . . 2.9 RG flow of dimensional operators ...
Renormalization Group Theory
... the divergence of the correlation length, is in general not equal to 1/2 due to critical fluctuations that go beyond the Landau theory of Chap. 9. It has recently been possible to beautifully confirm this theoretical prediction with the use of ultracold atomic gases. Moreover, the renormalization-gr ...
... the divergence of the correlation length, is in general not equal to 1/2 due to critical fluctuations that go beyond the Landau theory of Chap. 9. It has recently been possible to beautifully confirm this theoretical prediction with the use of ultracold atomic gases. Moreover, the renormalization-gr ...
Basics of Lattice Quantum Field Theory∗
... really: the same for Z: universal ↔ physics ↔ ratios where Z drops out ...
... really: the same for Z: universal ↔ physics ↔ ratios where Z drops out ...