Geometro-stochastic quantization of gauge fields in curved space-time

1988 ◽  
Vol 100 (6) ◽  
pp. 827-868 ◽  
Author(s):  
E. Prugovečki

1989 ◽  
Vol 101 (5) ◽  
pp. 851-853
Author(s):  
E. Prugovečki


1981 ◽  
Vol 62 (1) ◽  
pp. 17-30 ◽  
Author(s):  
E. Prugovečki


2003 ◽  
Vol 67 (12) ◽  
Author(s):  
Nguyen Ai Viet ◽  
Kameshwar C. Wali
Keyword(s):  


1987 ◽  
Vol 97 (6) ◽  
pp. 837-878 ◽  
Author(s):  
E. Prugovečki


1986 ◽  
Vol 33 (8) ◽  
pp. 2262-2266 ◽  
Author(s):  
J. Barcelos-Neto ◽  
Ashok Das


1988 ◽  
Vol 31 (2) ◽  
pp. 163-167
Author(s):  
I. L. Bukhbinder ◽  
S. D. Odintsov


1980 ◽  
Vol 12 (12) ◽  
pp. 1035-1041 ◽  
Author(s):  
J. Tafel


1998 ◽  
Vol 13 (16) ◽  
pp. 2857-2874
Author(s):  
IVER H. BREVIK ◽  
HERNÁN OCAMPO ◽  
SERGEI ODINTSOV

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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