Generation of exact solutions of gravity coupled to massless gauge fields, scalar fields, and conformal scalar fields

1977 ◽  
Vol 16 (6) ◽  
pp. 1688-1690 ◽  
Author(s):  
Comer Duncan
Keyword(s):  
Exact Solutions ◽  
Scalar Fields ◽  
Gauge Fields

scholarly journals Higher-derivative heterotic Double Field Theory and classical double copy

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Eric Lescano ◽  
Jesús A. Rodríguez
Keyword(s):  
Field Theory ◽  
Exact Solutions ◽  
Maxwell Equations ◽  
Action Principle ◽  
Low Energy ◽  
Gauge Fields ◽  
Metric Tensor ◽  
Higher Derivative ◽  
Double Field Theory ◽  
Double Copy

Abstract The generalized Kerr-Schild ansatz (GKSA) is a powerful tool for constructing exact solutions in Double Field Theory (DFT). In this paper we focus in the heterotic formulation of DFT, considering up to four-derivative terms in the action principle, while the field content is perturbed by the GKSA. We study the inclusion of the generalized version of the Green-Schwarz mechanism to this setup, in order to reproduce the low energy effective heterotic supergravity upon parametrization. This formalism reproduces higher-derivative heterotic background solutions where the metric tensor and Kalb-Ramond field are perturbed by a pair of null vectors. Next we study higher-derivative contributions to the classical double copy structure. After a suitable identification of the null vectors with a pair of U(1) gauge fields, the dynamics is given by a pair of Maxwell equations plus higher derivative corrections in agreement with the KLT relation.

Classical fields in curved spacetime

2021 ◽  
pp. 294-313
Author(s):  
Iosif L. Buchbinder ◽  
Ilya L. Shapiro
Keyword(s):  
Vector Fields ◽  
Lorentz Invariance ◽  
Conformal Symmetry ◽  
Scalar Fields ◽  
Gauge Fields ◽  
Curved Spacetime ◽  
Curved Space ◽  
Spinor Fields ◽  
Vector Gauge ◽  
Classical Fields

This chapter discusses classical fields in an arbitrary Riemann spacetime. General considerations are followed by the formulation of scalar fields with non-minimal coupling. Spontaneous symmetry breaking in curved space is shown to provide the induced gravity action with a cosmological constant. The construction of spinor fields in curved spacetime is based on the notions of group theory from Part I and on the local Lorentz invariance. Massless vector fields (massless vector gauge fields) are described and the interactions between scalar, fermion and gauge fields formulated. A detailed discussion of classical conformal transformations and conformal symmetry for both matter fields and vacuum action is also provided.

scholarly journals FIELD DECOMPOSITION AND THE GROUND STATE STRUCTURE OF SU(2) YANG–MILLS THEORY

2002 ◽  
Vol 17 (25) ◽  
pp. 3681-3688 ◽  
Author(s):  
LISA FREYHULT
Keyword(s):  
Effective Potential ◽  
Ground State ◽  
Scalar Fields ◽  
Background Field ◽  
Field Method ◽  
Gauge Fields ◽  
Ground State Structure ◽  
State Structure ◽  
Yang Mills ◽  
Background Field Method

We compute the effective potential of SU(2) Yang–Mills theory using the background field method and the Faddeev–Niemi decomposition of the gauge fields. In particular, we find that the potential will depend on the values of two scalar fields in the decomposition and that its structure will give rise to a symmetry breaking.

scholarly journals Precise calculation of the decay rate of false vacuum with multi-field bounce

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
So Chigusa ◽  
Takeo Moroi ◽  
Yutaro Shoji
Keyword(s):  
Decay Rate ◽  
Scalar Fields ◽  
Gauge Fields ◽  
Gauge Parameter ◽  
False Vacuum ◽  
Vacuum Decay ◽  
Loop Contribution ◽  
Zero Modes ◽  
Precise Calculation ◽  
The One

Abstract We study the decay rate of a false vacuum in gauge theory at the one-loop level. We pay particular attention to the case where the bounce consists of an arbitrary number of scalar fields. With a multi-field bounce, which has a curved trajectory in the field space, the mixing among the gauge fields and the scalar fields evolves along the path of the bounce in the field space and the one-loop calculation of the vacuum decay rate becomes complicated. We consider the one-loop contribution to the decay rate with an arbitrary choice of the gauge parameter, and obtain a gauge invariant expression of the vacuum decay rate. We also give proper treatments of gauge zero modes and renormalization.

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.

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