scholarly journals Quantum entanglement of fermions–antifermions pair creation modes in noncommutative Bianchi I space–time

2015 ◽  
Vol 30 (24) ◽  
pp. 1550141 ◽  
Author(s):  
M. F. Ghiti ◽  
N. Mebarki ◽  
H. Aissaoui
Keyword(s):  
Quantum Entanglement ◽  
Entanglement Entropy ◽  
Space Time ◽  
Pair Creation ◽  
Theory Approach ◽  
Quantum Field ◽  
Von Neumann ◽  
Curved Space ◽  
Bianchi I ◽  
Bogoliubov Transformations

The noncommutative Bianchi I curved space–time vierbeins and spin connections are derived. Moreover, the corresponding noncommutative Dirac equation as well as its solutions are presented. As an application within the quantum field theory approach using Bogoliubov transformations, the von Neumann fermion–antifermion pair creation quantum entanglement entropy is studied. It is shown that its behavior is strongly dependent on the value of the noncommutativity [Formula: see text] parameter, [Formula: see text]-modes frequencies and the structure of the curved space–time. Various discussions of the obtained features are presented.

Noncommutative DKP field and pair creation in curved space–time

2019 ◽  
Vol 34 (16) ◽  
pp. 1950082
Author(s):  
Mohamed Achour ◽  
Lamine Khodja ◽  
Slimane Zaim
Keyword(s):  
Quantum Mechanics ◽  
Particle Creation ◽  
Space Time ◽  
Pair Creation ◽  
Curved Space ◽  
Dkp Equation ◽  
First Order ◽  
Bogoliubov Transformations

This study is about the application of the noncommutativity on the DKP equation up to first-order in [Formula: see text] for the process of pair creation of spin-1 particles from vacuum in [Formula: see text] curved space–time. The density of particles created in the vacuum can be calculated with the help of the Bogoliubov transformations. The noncommutative density of created particles is found to decrease as [Formula: see text], so that the rate of particle creation increases whenever a noncommutativity parameter is small and this corresponds to the spirit of quantum mechanics.

scholarly journals ε-EXPANSION IN QUANTUM FIELD THEORY IN CURVED SPACE–TIME

1998 ◽  
Vol 13 (16) ◽  
pp. 2857-2874
Author(s):  
IVER H. BREVIK ◽  
HERNÁN OCAMPO ◽  
SERGEI ODINTSOV
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Space Time ◽  
Quantum Field ◽  
Curved Space ◽  
Njl Model ◽  
Effective Lagrangian ◽  
Special Solutions ◽  
Curvature Approximation ◽  
Symmetric Phase

We discuss ε-expansion in curved space–time for asymptotically free and asymptotically nonfree theories. The existence of stable and unstable fixed points is investigated for fϕ4 theory and SU(2) gauge theory. It is shown that ε-expansion maybe compatible with aysmptotic freedom on special solutions of the RG equations in a special ase (supersymmetric theory). Using ε-expansion RG technique, the effective Lagrangian for covariantly constant gauge SU(2) field and effective potential for gauged NJL model are found in (4-ε)-dimensional curved space (in linear curvature approximation). The curvature-induced phase transitions from symmetric phase to asymmetric phase (chromomagnetic vacuum and chiral symmetry broken phase, respectively) are discussed for the above two models.

Momentum space techniques for curved space–time quantum field theory

1979 ◽  
Vol 367 (1728) ◽  
pp. 123-141 ◽  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Momentum Space ◽  
Nuclear Physics ◽  
Space Time ◽  
Coordinate Space ◽  
Quantum Field ◽  
Curved Space ◽  
Time Quantum ◽  
Space Formulation

A momentum space formulation of curved space–time quantum field theory is presented. Such a formulation allows the riches of momentum space calculational techniques already existing in nuclear physics to be exploited in the application of quantum field theory to cosmology and astrophysics. It is demonstrated that one such technique can allow exact, or very accu­rate approximate, results to be obtained in cases which are intractable in coordinate space. An efficient method of numerical solution is also described.

scholarly journals Entropic dynamics: reconstructing quantum field theory in curved space-time

2019 ◽  
Vol 36 (20) ◽  
pp. 205013 ◽  
Author(s):  
Selman Ipek ◽  
Mohammad Abedi ◽  
Ariel Caticha
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Space Time ◽  
Quantum Field ◽  
Curved Space ◽  
Entropic Dynamics
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