scholarly journals Unification of Gravitational and Electromagnetic Fields in Curved Space-Time Using Gauge Symmetry of Bianchi Identities

2021 ◽  
Vol 07 (03) ◽  
pp. 1202-1212
Author(s):  
Young Hwan Yun ◽  
Kiho Jang
Keyword(s):  
Gauge Symmetry ◽  
Electromagnetic Fields ◽  
Space Time ◽  
Bianchi Identities ◽  
Curved Space

ON THE AMPLIFICATION OF COSMOLOGICAL NON-MAXWELLIAN FIELDS IN CURVED BACKGROUND

2001 ◽  
Vol 16 (09) ◽  
pp. 541-555 ◽  
Author(s):  
A. L. OLIVEIRA
Keyword(s):  
Gravitational Field ◽  
Electromagnetic Fields ◽  
Electromagnetic Theory ◽  
Space Time ◽  
Electromagnetic Potential ◽  
Curved Space

We study the influence of the gravitational field of Friedmann geometries upon an electromagnetic potential, through the Proca electromagnetic theory in a Dirac æther. The results are compared with those as foreseen by the Maxwellian theory in curved space–time. Our findings show that strong amplification effects of electromagnetic fields are a distinctive possibility. Thence we discuss some related topics.

scholarly journals Electromagnetic Field with Constraints and Papapetrou Equation

2006 ◽  
Vol 61 (3-4) ◽  
pp. 146-152 ◽  
Author(s):  
Zafar Y. Turakulov ◽  
Alisher T. Muminov
Keyword(s):  
Electromagnetic Field ◽  
Electromagnetic Wave ◽  
Variational Principle ◽  
Electromagnetic Fields ◽  
Functional Space ◽  
Massless Particle ◽  
Space Time ◽  
Lagrange Equations ◽  
Curved Space ◽  
Null Curves

It is shown that a geometric optical description of the electromagnetic wave with respect to its polarization in a curved space-time can be obtained straightforwardly from the classical variational principle for the electromagnetic field. For this purpose the entire functional space of electromagnetic fields must be reduced to its subspace of locally plane monochromatic waves. We have formulated the constraints under which this can be achieved. These constraints introduce variables of another kind which specify a field of local frames associated with the wave. They contain some congruence with null-curves. The Lagrangian for constrained electromagnetic fields contains variables of two kinds, namely a congruence of null-curves and the field itself. This in turn yields two kinds of Euler- Lagrange equations. The equations of the first kind are trivial due to the constraints imposed. The variation of the curves yields the Papapetrou equations for a classical massless particle with helicity 1

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.

Sign in / Sign up

Export Citation Format

Share Document