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 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.

Wave Function Realism in a Relativistic Setting

2020 ◽  
pp. 154-168
Author(s):  
Alyssa Ney
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Relativistic Quantum ◽  
Higher Dimensions ◽  
Recent Criticism ◽  
Interpretation Of Quantum Mechanics ◽  
Quantum Theories ◽  
Realist Interpretation ◽  
Wave Function Realism

The purpose of the present chapter is to respond to a thread of recent criticism against one candidate framework for interpreting quantum theories, a framework introduced and defended by David Albert and Barry Loewer: wave function realism, a framework for interpreting the ontology of quantum theories according to which what appears to be a nonseparable metaphysics ofentangled objects acting instantaneously across spatial distances is a manifestation of a more fundamental separable and local metaphysics in higher dimensions. Thechapterconsiders strategies for extending the wave function realist interpretation of quantum mechanics to the case of relativistic quantum theories, responding to arguments that this cannot be done.

scholarly journals Relativistic quantum theories and neutrino oscillations

2010 ◽  
Vol 81 (5) ◽  
pp. 055102 ◽  
Author(s):  
B D Keister ◽  
W N Polyzou
Keyword(s):  
Neutrino Oscillations ◽  
Relativistic Quantum ◽  
Quantum Theories

C, P and T in relativistic quantum theories

CP Violation ◽  
2010 ◽  
pp. 41-72
Author(s):  
I. I. Bigi ◽  
A. I. Sanda
Keyword(s):  
Relativistic Quantum ◽  
Quantum Theories
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