scholarly journals SPONTANEOUS SYMMETRY BREAKING IN THE SPACE–TIME OF AN ARBITRARY DIMENSION

2002 ◽  
Vol 17 (30) ◽  
pp. 1979-1989 ◽  
Author(s):  
JE-AN GU ◽  
W.-Y. P. HWANG
Keyword(s):  
Gravitational Field ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Arbitrary Dimension ◽  
Space Time ◽  
Minimal Coupling ◽  
Dynamical Field

We study the spontaneous symmetry breaking (SSB) induced by a scalar field and its non-minimal interaction with gravity in the space–time of an arbitrary dimension (D > 2), where the gravitational field is treated as a dynamical field. We explore mainly the possibility of implementing SSB after introducing the non-minimal coupling with such dynamical gravitational field.

scholarly journals Coherent states and spontaneous symmetry breaking in light-front scalar field theory

2006 ◽  
Vol 161 ◽  
pp. 223-229 ◽  
Author(s):  
J.P. Vary ◽  
D. Chakrabarti ◽  
A. Harindranath ◽  
R. Lloyd ◽  
L. Martinovic ◽  
...  
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Coherent States ◽  
Light Front ◽  
Scalar Field Theory

scholarly journals Effective Abelian-Higgs Theory from SU(2) gauge field theory

2005 ◽  
Vol 20 (15) ◽  
pp. 3481-3487 ◽  
Author(s):  
VLADIMIR DZHUNUSHALIEV ◽  
DOUGLAS SINGLETON ◽  
DANNY DHOKARH
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Mass Term ◽  
Gauge Field Theory ◽  
Ginzburg Landau ◽  
Flux Tubes ◽  
Color Confinement

In the present work we show that it is possible to arrive at a Ginzburg-Landau (GL) like equation from pure SU (2) gauge theory. This has a connection to the dual superconducting model for color confinement where color flux tubes permanently bind quarks into color neutral states. The GL Lagrangian with a spontaneous symmetry breaking potential, has such (Nielsen-Olesen) flux tube solutions. The spontaneous symmetry breaking requires a tachyonic mass for the effective scalar field. Such a tachyonic mass term is obtained from the condensation of ghost fields.

LIGHT-FRONT QUANTIZED SCHWINGER MODEL AND θ-VACUA

1998 ◽  
Vol 13 (15) ◽  
pp. 1223-1233 ◽  
Author(s):  
PREM P. SRIVASTAVA
Keyword(s):  
Scalar Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Light Front ◽  
Number Operator ◽  
Decomposition Property ◽  
Schwinger Model ◽  
Fluctuation Fields ◽  
Time Information

The light-front (LF) quantization of the bosonized Schwinger model is discussed. The proposal, successfully used earlier for describing the spontaneous symmetry breaking (SSB) on the LF, of separating first the scalar field into the dynamical condensate and the fluctuation fields before employing the standard Dirac method works here as well. The condensate variable is now shown to be a q-number operator in contrast to the case of SSB where it was shown to be a c-number. The condensate or θ-vacua emerge straightforwardly along with their continuum normalization which avoids the violation of the cluster decomposition property. Attention is drawn to the fact that the theory quantized, say, at equal x+, carries in it at the same time information on equal x- commutators as well.

scholarly journals THE FOUR-FERMION INTERACTION IN D = 2, 3, 4: A NONPERTURBATIVE TREATMENT

1998 ◽  
Vol 13 (21) ◽  
pp. 3649-3665 ◽  
Author(s):  
V. E. ROCHEV ◽  
P. A. SAPONOV
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Degrees Of Freedom ◽  
Space Time ◽  
Coupling Constant ◽  
Dimensional Theory ◽  
Fixed Integer ◽  
Running Coupling ◽  
Running Coupling Constant ◽  
Gross Neveu Model

A new nonperturbative approach is used to investigate the Gross–Neveu model of four-fermion interaction in the space–time dimensions 2, 3 and 4, the number N of inner degrees of freedom being a fixed integer. The spontaneous symmetry breaking is shown to exist in D=2, 3 and the running coupling constant is calculated. The four-dimensional theory seems to be trivial.

scholarly journals Self-force of a scalar charge in the space-time of extreme charged anti-dilatonic wormhole

2018 ◽  
Vol 15 (03) ◽  
pp. 1850050 ◽  
Author(s):  
A. A. Popov ◽  
O. Aslan
Keyword(s):  
Scalar Field ◽  
Space Time ◽  
The Self ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Minimal Coupling ◽  
Scalar Charge ◽  
Self Force

The self-interaction for a static scalar charge in the space-time of extreme charged anti-dilatonic wormhole is calculated. We assume that the scalar charge is the source of massless scalar field with minimal coupling of the scalar field to the curvature of spacetime.

Non-renormalizability of Einstein-spontaneous-symmetry breaking vector and scalar meson interaction

1976 ◽  
Vol 351 (1665) ◽  
pp. 197-208
Keyword(s):  
Gravitational Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Scalar Meson ◽  
Mass Shell ◽  
Vector Mesons ◽  
Charged Scalar

We calculate all one-loop divergences for charged scalar and vector mesons interacting with each other and with the quantized gravitational field in the presence of a ϕ 4 -interaction. We show that these divergences do not cancel among themselves on or off-mass-shell. We conclude that the inclusion of other fields (scalar or vector mesons) does not help the situation and unified models of this nature have proved to be unsuccessful for solving the problem of non-renormalizability of the gravitational field.

scholarly journals NONSTATIC GLOBAL STRING IN BRANS–DICKE THEORY

2000 ◽  
Vol 15 (22n23) ◽  
pp. 1409-1417 ◽  
Author(s):  
A. A. SEN ◽  
N. BANERJEE
Keyword(s):  
Gravitational Field ◽  
Scalar Field ◽  
Gravitational Radiation ◽  
Space Time ◽  
Time And Space ◽  
Finite Distance ◽  
Theory Of Gravity

Gravitational field of a nonstatic global string has been studied in the context of Brans–Dicke theory of gravity. Both the metric components and the BD scalar field are assumed to be nonseparable functions of time and space. The space–time may or may not have any singularity at a finite distance from the string core but the singularity at a particular time always remains. It has been shown that the space–time exhibits both outgoing and incoming gravitational radiation.

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