general-relativity as an effective-field theory
... in more extremes situations. There are many examples of theories which have been superseded by new theories at higher energies, and we expect this process to continue. It is interesting to look at the incompatibility of general relativity and quantum mechanics in this light. It would not be surprisi ...
... in more extremes situations. There are many examples of theories which have been superseded by new theories at higher energies, and we expect this process to continue. It is interesting to look at the incompatibility of general relativity and quantum mechanics in this light. It would not be surprisi ...
2006-11-14-RAL-Wang - Indico
... The basic scenario is that gravitons constantly modulate the conformal factor of spacetime, a bit like the way in which pollen grains have a random Brownian motion as they are buffeted by much smaller molecules. By observing these tiny distortions in an atom interferometer, it is possible to extract ...
... The basic scenario is that gravitons constantly modulate the conformal factor of spacetime, a bit like the way in which pollen grains have a random Brownian motion as they are buffeted by much smaller molecules. By observing these tiny distortions in an atom interferometer, it is possible to extract ...
On the wave function of relativistic electron moving in a uniform
... (55) or (64). In turn, function S± (z, x0 ) very formally could be called an action. 5. Quasi-classical interpretation of the non-stationary solution of the Dirac equation Take a look at the resulting formulas (53,55) and (63,64) for energy and momentum. Variables of position and of time do not depe ...
... (55) or (64). In turn, function S± (z, x0 ) very formally could be called an action. 5. Quasi-classical interpretation of the non-stationary solution of the Dirac equation Take a look at the resulting formulas (53,55) and (63,64) for energy and momentum. Variables of position and of time do not depe ...
Effective Field Theories for Topological states of Matter
... theories for quantum Hall liquids[13, 14] and the BF-theories for superconductors and topological insulators[15, 16]. The third type, the effective actions for external fields, or effective response actions, are in a strict sense not effective theories, since they does not have any dynamical content ...
... theories for quantum Hall liquids[13, 14] and the BF-theories for superconductors and topological insulators[15, 16]. The third type, the effective actions for external fields, or effective response actions, are in a strict sense not effective theories, since they does not have any dynamical content ...
![arXiv:1008.1839v2 [hep-th] 12 Aug 2010](http://s1.studyres.com/store/data/016703481_1-ea69a133ddf2690980f0d44baa68ff8f-300x300.png)
Non-Euclidean geometry and consistency
... Remember we said that a mathematical system depends on its basic assumptions – its axioms. These should be self-evident. ...
... Remember we said that a mathematical system depends on its basic assumptions – its axioms. These should be self-evident. ...
Potential Difference
... Apply Potential Difference to Moving Charges An object in a gravitational field has potential energy if it is above the ground. The ball at point A has more potential energy than the ball at point B. ...
... Apply Potential Difference to Moving Charges An object in a gravitational field has potential energy if it is above the ground. The ball at point A has more potential energy than the ball at point B. ...
Wormholes in Spacetime and the Constants of Nature
... field theory at the wormhole scale are functions of a; this is the origin of the quantum indeterminacy of the fundamental constants. The derivation presented here of this a-dependence of the effective theory emphasizes the generality of the result. In particular, the argument does not rely at all on ...
... field theory at the wormhole scale are functions of a; this is the origin of the quantum indeterminacy of the fundamental constants. The derivation presented here of this a-dependence of the effective theory emphasizes the generality of the result. In particular, the argument does not rely at all on ...
Gravitational Field of Massive Point Particle in General Relativity
... change of the frames on the fibre of frames. Singular coordinate transformations may produce a change of the gauge sector of the solution, because they may change the topology of the frame bundle, adding new singular points and(or) singular sub-manifolds, or removing some of the existing ones. For e ...
... change of the frames on the fibre of frames. Singular coordinate transformations may produce a change of the gauge sector of the solution, because they may change the topology of the frame bundle, adding new singular points and(or) singular sub-manifolds, or removing some of the existing ones. For e ...
Quantum structures in general relativistic theories
... velocity and ~ to be the Planck’s constant. Finally, we assume a particle mass m and charge q For a rigorous mathematical treatment of units of measurement, see Jadczyk and Modugno5 . ...
... velocity and ~ to be the Planck’s constant. Finally, we assume a particle mass m and charge q For a rigorous mathematical treatment of units of measurement, see Jadczyk and Modugno5 . ...
Semiclassical Green`s functions and an instanton formulation of
... approaches to that outlined in this paper. Some generalization is however required as results in the literature considered only pathways which pass through the forbidden region but with end points outside,51,52 or treated only certain one-dimensional systems.53,54 We also introduce a transition-stat ...
... approaches to that outlined in this paper. Some generalization is however required as results in the literature considered only pathways which pass through the forbidden region but with end points outside,51,52 or treated only certain one-dimensional systems.53,54 We also introduce a transition-stat ...
Wave Operators for Classical Particle Scattering
... equation asymptotic to α + bt there is a natural map Ω+ : R6^R6 given by Ω+(a,b) = (r(Q), r(0)). Similarly, a map Ω~ is defined for solutions asymptotic to a given free solution at t= + 00. Ω+ is analogous to the wave operator of quantum scattering [13,1]. In both cases Ω+p is that ί = 0 interacting ...
... equation asymptotic to α + bt there is a natural map Ω+ : R6^R6 given by Ω+(a,b) = (r(Q), r(0)). Similarly, a map Ω~ is defined for solutions asymptotic to a given free solution at t= + 00. Ω+ is analogous to the wave operator of quantum scattering [13,1]. In both cases Ω+p is that ί = 0 interacting ...
Dirac Equation
... quantum commutator, only works for linear equations. (b) Born’s interpretation of the square of the modulus of as a probability, only works for linear equations. (c) The Klein-Gordon equation has negative energy solutions for which it gives no explanation. This would not have mattered in the norma ...
... quantum commutator, only works for linear equations. (b) Born’s interpretation of the square of the modulus of as a probability, only works for linear equations. (c) The Klein-Gordon equation has negative energy solutions for which it gives no explanation. This would not have mattered in the norma ...