Von Neumann algebra automorphisms and time
... We obtain in this way a general state dependent definition of time flow in a general covariant context. If the system is not generally covariant and is in a Gibbs state, then this postulate reduces to the Hamilton equations, as we shall show. In the general case, on the other side, concrete examples ...
... We obtain in this way a general state dependent definition of time flow in a general covariant context. If the system is not generally covariant and is in a Gibbs state, then this postulate reduces to the Hamilton equations, as we shall show. In the general case, on the other side, concrete examples ...
Quantum Field Theory on Curved Backgrounds. I
... 0 . . . d − 1 for spacetime indices, reserving Greek indices µ, ν = 1 . . . d − 1 for spatial directions. We include in our definition of ‘Riemannian manifold’ that the underlying topological space must be paracompact (every open cover has a locally finite open refinement) and connected. The notatio ...
... 0 . . . d − 1 for spacetime indices, reserving Greek indices µ, ν = 1 . . . d − 1 for spatial directions. We include in our definition of ‘Riemannian manifold’ that the underlying topological space must be paracompact (every open cover has a locally finite open refinement) and connected. The notatio ...
Selberg zeta function and trace formula for the BTZ black hole
... to the infinite multiplicity of the continuous spectrum and absence of a canonical renormalization for the scattering operator which makes it trace-class. In the special case of the BTZ black hole BΓ = Γ\H3 however, where the structure is relatively simple, one can by-pass much of the general theory ...
... to the infinite multiplicity of the continuous spectrum and absence of a canonical renormalization for the scattering operator which makes it trace-class. In the special case of the BTZ black hole BΓ = Γ\H3 however, where the structure is relatively simple, one can by-pass much of the general theory ...
(1) - Intellectual Archive
... gauge and Higgs fields is prone to occur at a scale substantially lower than cr O(1011 ) GeV. Quantum corrections from the Higgs quartic coupling and from the interaction of the Higgs with heavy particles become irrelevant as the vacuum loses stability and dies out. The inability of the vacuum to ...
... gauge and Higgs fields is prone to occur at a scale substantially lower than cr O(1011 ) GeV. Quantum corrections from the Higgs quartic coupling and from the interaction of the Higgs with heavy particles become irrelevant as the vacuum loses stability and dies out. The inability of the vacuum to ...
The Quantum Theory of the Emission and Absorption of Radiation
... ih∂ψ/∂t = (H0 + V )ψ, where (H0 +V ) is an operator. If ψ = Σr ar ψr is the solution of this equation that satisfies the proper initial conditions, where the ψr ’s are the eigenfunctions for the unperturbed system, each associated with one stationary state labelled by the suffix r, and the ar ’s are ...
... ih∂ψ/∂t = (H0 + V )ψ, where (H0 +V ) is an operator. If ψ = Σr ar ψr is the solution of this equation that satisfies the proper initial conditions, where the ψr ’s are the eigenfunctions for the unperturbed system, each associated with one stationary state labelled by the suffix r, and the ar ’s are ...
An Integration of General Relativity and Relativistic Quantum
... Einstein equations cannot come from the RQT but rather from the SM operators acting on the state of the current system. (In practice, it comes from large masses such as black holes or stars and thus the classical expression is valid). ...
... Einstein equations cannot come from the RQT but rather from the SM operators acting on the state of the current system. (In practice, it comes from large masses such as black holes or stars and thus the classical expression is valid). ...
Mixed-State Evolution in the Presence of Gain and Loss
... another channel, the resulting dynamics can exhibit features that are similar to those seen in Hamiltonian dynamical systems. The time evolution of such a system can be described by a Hamiltonian that is symmetric under a space-time reflection, that is, invariant under the paritytime (PT) reversal. ...
... another channel, the resulting dynamics can exhibit features that are similar to those seen in Hamiltonian dynamical systems. The time evolution of such a system can be described by a Hamiltonian that is symmetric under a space-time reflection, that is, invariant under the paritytime (PT) reversal. ...
GeoSym-QFT
... geometry) and groups (quantum groups). Several problems in renormalization theory can be studied using algebraic methods, which also allow us to consider geometric aspects of non-perturbative Yang-Mills theory. A variety of quantization schemes as well as tools from statistical field theory applied ...
... geometry) and groups (quantum groups). Several problems in renormalization theory can be studied using algebraic methods, which also allow us to consider geometric aspects of non-perturbative Yang-Mills theory. A variety of quantization schemes as well as tools from statistical field theory applied ...
PPT - Fernando Brandao
... managed to overcome the previous difficulty by using a quantum trick: • Suppose there are only two witnesses { 1 , 2 } acceptance probability bigger than 2/3 (all other having acceptance prob. < 1/3) ...
... managed to overcome the previous difficulty by using a quantum trick: • Suppose there are only two witnesses { 1 , 2 } acceptance probability bigger than 2/3 (all other having acceptance prob. < 1/3) ...
Strongly correlated phenomena in cavity QED
... managed to overcome the previous difficulty by using a quantum trick: • Suppose there are only two witnesses { 1 , 2 } acceptance probability bigger than 2/3 (all other having acceptance prob. < 1/3) ...
... managed to overcome the previous difficulty by using a quantum trick: • Suppose there are only two witnesses { 1 , 2 } acceptance probability bigger than 2/3 (all other having acceptance prob. < 1/3) ...
Slides - Indico
... Without gravity one could have said that the problem is not so severe: After all, the theory must have a scale and it happens to be around 100GeV. But with gravity there is a very little flexibility. In Einstein’s gravity MP is the scale where gravitational interactions of elementary particles beco ...
... Without gravity one could have said that the problem is not so severe: After all, the theory must have a scale and it happens to be around 100GeV. But with gravity there is a very little flexibility. In Einstein’s gravity MP is the scale where gravitational interactions of elementary particles beco ...
Ashtekar.pdf
... perturbation theory to incorporate quantum effects of gravity. There is a manifold but no metric, or indeed any other physical fields, in the background.1 In classical gravity, Riemannian geometry provides the appropriate mathematical language to formulate the physical, kinematical notions as well as ...
... perturbation theory to incorporate quantum effects of gravity. There is a manifold but no metric, or indeed any other physical fields, in the background.1 In classical gravity, Riemannian geometry provides the appropriate mathematical language to formulate the physical, kinematical notions as well as ...
Solving quantum field theories via curved spacetimes
... Eleven years ago several theorists proposed a remarkable correspondence between two seemingly different kinds of theories.1 It is often called a duality because it is an equivalence between two different, “dual” descriptions of the same physics. On one side of the duality are certain quantum field t ...
... Eleven years ago several theorists proposed a remarkable correspondence between two seemingly different kinds of theories.1 It is often called a duality because it is an equivalence between two different, “dual” descriptions of the same physics. On one side of the duality are certain quantum field t ...