On the possibility of observing first‐order corrections to geometrical optics in a curved space‐time

1972 ◽  
Vol 13 (12) ◽  
pp. 1941-1943 ◽  
Author(s):  
I. Dwivedi ◽  
R. Kantowski
Keyword(s):  
Geometrical Optics ◽  
Space Time ◽  
Curved Space ◽  
First Order

scholarly journals NAMBU-JONA-LASINIO MODEL IN CURVED SPACE-TIME

1993 ◽  
Vol 08 (22) ◽  
pp. 2117-2123 ◽  
Author(s):  
T. INAGAKI ◽  
T. MUTA ◽  
S.D. ODINTSOV
Keyword(s):  
Proper Time ◽  
Space Time ◽  
Leading Order ◽  
Coupling Constant ◽  
Normal Coordinate ◽  
Dynamical Mass ◽  
Curved Space ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase

The phase structure of Nambu-Jona-Lasinio model with N-component fermions in curved space-time is studied in the leading order of the 1/N expansion. The effective potential for composite operator [Formula: see text] is calculated by using the normal coordinate expansion in the Schwinger proper-time method. The existence of the first order phase transition caused by the change of the space-time curvature is confirmed and the dynamical mass of the fermion is calculated as a simultaneous function of the curvature and the four-fermion coupling constant. The phase diagram in the curvature and the coupling constant is obtained.

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 CHIRAL SYMMETRY BREAKING IN THE d = 3 NAMBU-JONA-LASINIO MODEL IN CURVED SPACE-TIME

1994 ◽  
Vol 09 (10) ◽  
pp. 913-918 ◽  
Author(s):  
E. ELIZALDE ◽  
S. D. ODINTSOV ◽  
YU. I. SHIL'NOV
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Chiral Symmetry Breaking ◽  
Space Time ◽  
Leading Order ◽  
Curved Space ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase ◽  
Curvature Approximation

The phase structure of the d = 3 Nambu-Jona-Lasinio model in curved space-time is considered to leading order in the 1/N-expansion and in the linear curvature approximation. The possibility of a curvature-induced first order phase transition is investigated numerically. The dynamically generated fermionic mass is calculated for some values of the curvature.

Path integrals and the solution of the Schwinger model in curved space-time

1986 ◽  
Vol 33 (8) ◽  
pp. 2262-2266 ◽  
Author(s):  
J. Barcelos-Neto ◽  
Ashok Das
Keyword(s):  
Path Integrals ◽  
Space Time ◽  
Curved Space ◽  
Schwinger Model

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.

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