scholarly journals General Relativistic Quantum Theories: Foundations, the Leptons Masses

2014 ◽  
pp. 305-313
Author(s):  
Claudio Parmeggiani
Keyword(s):  
Relativistic Quantum ◽  
Quantum Theories ◽  
General Relativistic

scholarly journals Spin and Dynamics in Relativistic Quantum Theories

2014 ◽  
Vol 56 (6-9) ◽  
pp. 395-399 ◽  
Author(s):  
W. N. Polyzou ◽  
W. Glöckle ◽  
H. Witała
Keyword(s):  
Relativistic Quantum ◽  
Quantum Theories

scholarly journals Analysis of the buildup of spatiotemporal correlations and their bounds outside of the light cone

2018 ◽  
Vol 5 (5) ◽  
Author(s):  
Nils O. Abeling ◽  
Lorenzo Cevolani ◽  
Stefan Kehrein
Keyword(s):  
Correlation Function ◽  
Power Law ◽  
Light Cone ◽  
Relativistic Quantum ◽  
Initial State ◽  
Quantum Theories ◽  
Luttinger Model ◽  
Power Law Decay ◽  
Exactly Solvable ◽  
Exponentially Small

In non-relativistic quantum theories the Lieb-Robinson bound defines an effective light cone with exponentially small tails outside of it. In this work we use it to derive a bound for the correlation function of two local disjoint observables at different times if the initial state has a power-law decay. We show that the exponent of the power-law of the bound is identical to the initial (equilibrium) decay. We explicitly verify this result by studying the full dynamics of the susceptibilities and correlations in the exactly solvable Luttinger model after a sudden quench from the non-interacting to the interacting model.

scholarly journals PATH INTEGRATION IN RELATIVISTIC QUANTUM MECHANICS

1993 ◽  
Vol 08 (09) ◽  
pp. 1629-1635 ◽  
Author(s):  
IAN H. REDMOUNT ◽  
WAI-MO SUEN
Keyword(s):  
Path Integral ◽  
Light Cone ◽  
Proper Time ◽  
Relativistic Quantum ◽  
Free Particle ◽  
Wkb Approximation ◽  
Relativistic Quantum Mechanics ◽  
Path Integral Formulation ◽  
Quantum Theories ◽  
Short Time

The simple physics of a free particle reveals important features of the path-integral formulation of relativistic quantum theories. The exact quantum-mechanical propagator is calculated here for a particle described by the simple relativistic action proportional to its proper time. This propagator is nonvanishing outside the light cone, implying that spacelike trajectories must be included in the path integral. The propagator matches the WKB approximation to the corresponding configuration-space path integral far from the light cone; outside the light cone that approximation consists of the contribution from a single spacelike geodesic. This propagator also has the unusual property that its short-time limit does not coincide with the WKB approximation, making the construction of a concrete skeletonized version of the path integral more complicated than in nonrelativistic theory.

scholarly journals General relativistic quantum optics: Finite-size particle detector models in curved spacetimes

2020 ◽  
Vol 101 (4) ◽  
Author(s):  
Eduardo Martín-Martínez ◽  
T. Rick Perche ◽  
Bruno de S. L. Torres
Keyword(s):  
Quantum Optics ◽  
Relativistic Quantum ◽  
Finite Size ◽  
Particle Detector ◽  
Size Particle ◽  
Curved Spacetimes ◽  
General Relativistic

scholarly journals No Place for Particles in Relativistic Quantum Theories?

2002 ◽  
Vol 69 (1) ◽  
pp. 1-28 ◽  
Author(s):  
Hans Halvorson ◽  
Rob Clifton
Keyword(s):  
Relativistic Quantum ◽  
Quantum Theories

scholarly journals DISCRETE SYMMETRIES OF LOW-DIMENSIONAL DIRAC MODELS: A SELECTIVE REVIEW WITH A FOCUS ON CONDENSED-MATTER REALIZATIONS

2015 ◽  
Vol 57 (1) ◽  
pp. 3-17 ◽  
Author(s):  
R. WINKLER ◽  
U. ZÜLICKE
Keyword(s):  
Degrees Of Freedom ◽  
Relativistic Quantum ◽  
Discrete Symmetry ◽  
Symmetry Operation ◽  
Free Electrons ◽  
Quantum Theories ◽  
Dimensional Spacetime ◽  
Symmetry Properties ◽  
Symmetry Transformations ◽  
Low Dimensional

The most fundamental characteristic of a physical system can often be deduced from its behaviour under discrete symmetry transformations, such as time reversal, parity and chirality. Here, we review some of the basic symmetry properties of the relativistic quantum theories for free electrons in ($2+1$)- and ($1+1$)-dimensional spacetime. Additional flavour degrees of freedom are necessary to properly define symmetry operations in ($2+1$) dimensions, and are generally present in physical realizations of such systems, for example in single sheets of graphite. We find that there exist two possibilities for defining any flavour-coupling discrete symmetry operation of the two-flavour ($2+1$)-dimensional Dirac theory. Some physical implications of this previously unnoticed duplicity are discussed.

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