scholarly journals Renormalization of gauge theories in curved space-time

2010 ◽  
Vol 81 (4) ◽  
Author(s):  
Peter M. Lavrov ◽  
Ilya L. Shapiro
Keyword(s):  
Gauge Theories ◽  
Space Time ◽  
Curved Space

Quantum BRST charge in gauge theories in curved space-time

2019 ◽  
Vol 60 (1) ◽  
pp. 012304 ◽  
Author(s):  
Mojtaba Taslimi Tehrani
Keyword(s):  
Gauge Theories ◽  
Space Time ◽  
Curved Space ◽  
Brst Charge

ASYMPTOTICAL CONFORMAL INVARIANCE IN “FINITE” SU(2) GAUGE THEORIES IN CURVED SPACE-TIME

1989 ◽  
Vol 04 (20) ◽  
pp. 1955-1961 ◽  
Author(s):  
S.D. ODINTSOV ◽  
F. SH. ZAPIROV
Keyword(s):  
Gravitational Field ◽  
Conformal Invariance ◽  
Gauge Theories ◽  
Space Time ◽  
Coupling Constants ◽  
Effective Coupling ◽  
Field Limit ◽  
Curved Space ◽  
Strong Gravitational Field ◽  
Weak Gravitational Field

The behavior of effective coupling constants in one-loop “finite” SU(2) gauge theories in curved space-time is investigated. It is shown that in strong gravitational field the effective coupling constants, corresponding to the parameters of non-minimal interaction of scalars and gravitational field, tend to the conformal values (asymptotical conformal invariance) or increase in an exponential fashion. The weak gravitational field limit is also considered in the same models.

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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