Asymptotic behavior of the effective potential of composite fields in a curved space-time

1988 ◽  
Vol 31 (2) ◽  
pp. 163-167
Author(s):  
I. L. Bukhbinder ◽  
S. D. Odintsov
Keyword(s):  
Asymptotic Behavior ◽  
Effective Potential ◽  
Space Time ◽  
Curved Space

Sine-Gordon model in (1 + 1)-dimensional curved space: Schrödinger picture approach

1996 ◽  
Vol 74 (9-10) ◽  
pp. 626-633
Author(s):  
Anjana Sinha ◽  
Rajkumar Roychoudhury
Keyword(s):  
Effective Potential ◽  
Flat Space ◽  
Space Time ◽  
Curved Space ◽  
Curvature Term ◽  
Sine Gordon Model ◽  
Schrödinger Picture

The effective potential for the sine-Gordon model in a curved space-time, given by [Formula: see text], has been calculated using the Schrödinger picture formalism. It has been shown that when α(x) → 1 our method reproduces the flat-space results. To show the effect of the curvature term, the effective potential Veff has been calculated numerically for several values of the parameter M, where α(x) has been taken to be of the form [Formula: see text].

Effective potential in a curved space-time

1984 ◽  
Vol 27 (7) ◽  
pp. 554-558 ◽  
Author(s):  
I. L. Bukhbinder ◽  
S. D. Odintsov
Keyword(s):  
Effective Potential ◽  
Space Time ◽  
Curved Space

PHASE STRUCTURE OF MULTIFERMION INTERACTION MODELS IN WEAKLY CURVED SPACE–TIME

2009 ◽  
Vol 24 (28n29) ◽  
pp. 5363-5379 ◽  
Author(s):  
MASAKO HAYASHI ◽  
TOMOHIRO INAGAKI ◽  
HIROYUKI TAKATA
Keyword(s):  
Effective Potential ◽  
Ground State ◽  
Phase Structure ◽  
Space Time ◽  
Normal Coordinate ◽  
Curved Space ◽  
Interaction Models ◽  
Scalar Type

The phase structure of a model with a scalar type eight-fermion interaction is investigated in weakly curved space–time. The ground state of the model is obtained by observing the minimum of the effective potential. Applying the Riemann normal coordinate expansion, we calculate an effective potential of the model in a weakly curved space–time. The result is extended to models with multifermion interactions. We numerically show the behavior of the effective potential and obtain the phase structure of the model.

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

A kinetic model of dipole particles in curved space-time

1980 ◽  
Vol 12 (12) ◽  
pp. 1035-1041 ◽  
Author(s):  
J. Tafel
Keyword(s):  
Kinetic Model ◽  
Space Time ◽  
Curved Space

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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