Exact Solution of Modified Dirac Oscillator in Curved Space-time with Spin and Pseudo-spin Symmetries

2021 ◽  
Vol 62 (4) ◽  
Author(s):  
M. D. de Oliveira ◽  
Alexandre G. M. Schmidt
Keyword(s):  
Exact Solution ◽  
Space Time ◽  
Dirac Oscillator ◽  
Curved Space

EXACT SOLUTION TO THE SCALAR DKP EQUATION IN (1+3)-DIMENSIONAL ROBERTSON–WALKER SPACE–TIME

2010 ◽  
Vol 25 (13) ◽  
pp. 2747-2760
Author(s):  
M. FALEK ◽  
M. MERAD
Keyword(s):  
Exact Solution ◽  
Spherical Harmonics ◽  
Space Time ◽  
Vector Spherical Harmonics ◽  
Curved Space ◽  
Dkp Equation ◽  
3 Dimensional ◽  
Bogoliubov Transformations

In the context of curved space–time, the scalar DKP equation in (1+3)-dimensional Robertson–Walker space–time is solved. The exact solution is then determined by the technique of vector spherical harmonics. As an application, the rate of the created particles in the presence of gravity is calculated via the method of Bogoliubov transformations.

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 Janis–Newman–Winicour and Wyman Solutions are the Same

1997 ◽  
Vol 12 (27) ◽  
pp. 4831-4835 ◽  
Author(s):  
K. S. Virbhadra
Keyword(s):  
Exact Solution ◽  
Scalar Field ◽  
Total Energy ◽  
Space Time ◽  
Massless Scalar ◽  
Spherically Symmetric ◽  
Scalar Equations

We show that the well-known most general static and spherically symmetric exact solution to the Einstein-massless scalar equations given by Wyman is the same as one found by Janis, Newman and Winicour several years ago. We obtain the energy associated with this space–time and find that the total energy for the case of the purely scalar field is zero.

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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