The Gaussian approximation for interacting charged scalar fields

1999 ◽  
Vol 11 (1) ◽  
pp. 181
Author(s):  
M. Hafizi
Keyword(s):  
Gaussian Approximation ◽  
Scalar Fields ◽  
Charged Scalar

scholarly journals Holographic complexity and charged scalar fields

2019 ◽  
Vol 99 (10) ◽  
Author(s):  
Musema Sinamuli ◽  
Robert B. Mann
Keyword(s):  
Scalar Fields ◽  
Charged Scalar

THERMODYNAMIC POTENTIAL FOR SCALAR FIELDS IN SPACE-TIME WITH HYPERBOLIC SPATIAL PART

1992 ◽  
Vol 07 (39) ◽  
pp. 3677-3688 ◽  
Author(s):  
GUIDO COGNOLA ◽  
LUCIANO VANZO
Keyword(s):  
Thermodynamic Potential ◽  
Dimensional Space ◽  
Scalar Fields ◽  
Space Time ◽  
Selberg Trace Formula ◽  
Charged Scalar ◽  
Spatial Part ◽  
Regularization Techniques ◽  
Dimensional Space Time ◽  
Charged Scalar Field

The thermodynamic potential for a charged scalar field of mass m on a (3+1)-dimensional space-time with hyperbolic H3/Γ spatial part is evaluated using zeta-function and heat kernel regularization techniques and Selberg trace formula for co-compact group Γ. High and low temperature expansions are obtained and discussed in detail.

FERMIONIZATION OF SELF-INTERACTING CHARGED SCALAR FIELDS COUPLED TO ABELIAN CHERN-SIMONS GAUGE FIELDS IN 2+1 DIMENSIONS

1991 ◽  
Vol 06 (07) ◽  
pp. 553-558 ◽  
Author(s):  
SAMIR K. PAUL ◽  
R. SHANKAR ◽  
M. SIVAKUMAR
Keyword(s):  
Perturbation Theory ◽  
Scalar Fields ◽  
Gauge Fields ◽  
Charged Scalar ◽  
Text Interaction ◽  
Chern Simons

We show, to all orders in perturbation theory, that the theory of charged scalars in 2+1 dimensions with a |ϕ|4 self-interaction coupled to Chern-Simons gauge fields is equivalent to a theory of self-interacting fermions with a [Formula: see text] interaction.

scholarly journals QUANTUM EVOLUTION OF SCALAR FIELDS IN ROBERTSON-WALKER SPACE-TIME

1996 ◽  
Vol 11 (21) ◽  
pp. 3957-3971 ◽  
Author(s):  
H.C. REIS ◽  
O.J.P. ÉBOLI
Keyword(s):  
Field Theory ◽  
Energy Momentum Tensor ◽  
Gaussian Approximation ◽  
Scalar Fields ◽  
Momentum Tensor ◽  
Space Time ◽  
Quantum Evolution ◽  
Coupling Constant ◽  
Pure States ◽  
Schrödinger Picture

We study the λɸ4 field theory in a flat Robertson-Walker space-time using the functional Schrödinger picture. We introduce a simple Gaussian approximation to analyze the time evolution of pure states and we establish the renormalizability of the approximation. We also show that the energy–momentum tensor in this approximation is finite once we consider the usual mass and coupling constant renormalizations.

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