Gauge fixing for gravity-coupled theories and the super-Higgs effect beyond the unitary gauge

1986 ◽  
Vol 273 (2) ◽  
pp. 366-386 ◽  
Author(s):  
Laurent Baulieu ◽  
Antoine Georges ◽  
Stephane Ouvry
Keyword(s):  
Unitary Gauge ◽  
Gauge Fixing ◽  
Higgs Effect

PATH INTEGRAL CALCULATION OF GREEN’S FUNCTION FOR SCHRÖDINGER EQUATION IN UNITARY GAUGE

1992 ◽  
Vol 07 (31) ◽  
pp. 7775-7786
Author(s):  
L. ROZANSKY
Keyword(s):  
Schrödinger Equation ◽  
Green’S Function ◽  
Green's Function ◽  
Path Integral ◽  
Schrodinger Equation ◽  
Preexponential Factor ◽  
Unitary Gauge ◽  
Gauge Fixing

Green’s function of Schrödinger equation is represented as a time-reparametrization invariant path integral. Unitary gauge fixing enables us to get the WKB preexponential factor without calculating determinants of operators containing derivatives.

scholarly journals Nucleon mass splitting in the isospin medium

2014 ◽  
Vol 29 (29) ◽  
pp. 1450170 ◽  
Author(s):  
Bum-Hoon Lee ◽  
Shahin Mamedov ◽  
Chanyong Park
Keyword(s):  
Mass Splitting ◽  
Meson Mass ◽  
Nucleon Mass ◽  
Unitary Gauge ◽  
Gauge Fixing ◽  
Pion Nucleon ◽  
Charged Mesons

Using the AdS/CFT correspondence, we investigate a nucleon mass splitting and pion–nucleon coupling in the isospin medium. We find that there exists a nucleon mass splitting which is exactly given by the half of the meson mass splitting because nucleon has the half isospin charge of the charged mesons. In addition, we also investigate the pion–nucleon and four pion interactions which requires the modification of the known Abelian-type unitary gauge fixing because of the non-Abelian structure of the isospin medium. After finding the non-Abelian unitary gauge fixing, we find that in the isospin medium the couplings only for π0 π0 π+ π- and π0 π0π0 π0 of four pion interactions shift, while there is no pion–nucleon coupling splitting in spite of the nucleon's and meson's mass splittings.

INVESTIGATION OF STATISTICS-CHANGING PHASE TRANSITION OF CHERN-SIMONS HIGGS THEORY

1993 ◽  
Vol 08 (35) ◽  
pp. 3317-3323 ◽  
Author(s):  
WON-TAE KIM ◽  
HYEONJOON SHIN ◽  
JAE KWAN KIM
Keyword(s):  
Phase Transition ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Degree Of Freedom ◽  
Unitary Gauge ◽  
Angular Momenta ◽  
Gauge Fixing ◽  
Momentum Mode ◽  
Zero Momentum ◽  
Chern Simons

The statistics-changing phase transition in terms of the spontaneous symmetry breaking is examined by studying anomalous angular momenta in symmetric and broken phases. We show that the zero-momentum mode of charged degree of freedom cannot be eliminated through the unitary gauge fixing even though the excited modes can be done in any vacuum phase, and the statistics-changing phase transition is impossible in the Chern-Simons Higgs theory.

scholarly journals A critical look at the electroweak phase transition

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Andreas Ekstedt ◽  
Johan Löfgren
Keyword(s):  
Phase Transition ◽  
Generic Model ◽  
Electroweak Symmetry ◽  
Electroweak Phase Transition ◽  
Gauge Dependence ◽  
Perturbative Methods ◽  
The Standard Model ◽  
Gauge Fixing ◽  
Infrared Divergences ◽  
General Gauge

Abstract The electroweak phase transition broke the electroweak symmetry. Perturbative methods used to calculate observables related to this phase transition suffer from severe problems such as gauge dependence, infrared divergences, and a breakdown of perturbation theory. In this paper we develop robust perturbative tools for dealing with phase transitions. We argue that gauge and infrared problems are absent in a consistent power-counting. We calculate the finite temperature effective potential to two loops for general gauge-fixing parameters in a generic model. We demonstrate gauge invariance, and perform numerical calculations for the Standard Model in Fermi gauge.

scholarly journals Gauge fixing and coBRST

1995 ◽  
Vol 456 (1-2) ◽  
pp. 442-472 ◽  
Author(s):  
Géza Fülöp ◽  
Robert Marnelius
Keyword(s):  
Gauge Fixing

scholarly journals NONCOMMUTATIVITY AND NON-ANTICOMMUTATIVITY PERTURBATIVE QUANTUM GRAVITY

2012 ◽  
Vol 27 (13) ◽  
pp. 1250075 ◽  
Author(s):  
MIR FAIZAL
Keyword(s):  
Quantum Gravity ◽  
Lagrangian Density ◽  
Background Field ◽  
Field Method ◽  
Gauge Fixing ◽  
Perturbative Quantum ◽  
Background Field Method

In this paper, we will study perturbative quantum gravity on supermanifolds with both noncommutativity and non-anticommutativity of spacetime coordinates. We shall first analyze the BRST and the anti-BRST symmetries of this theory. Then we will also analyze the effect of shifting all the fields of this theory in background field method. We will construct a Lagrangian density which apart from being invariant under the extended BRST transformations is also invariant under on-shell extended anti-BRST transformations. This will be done by using the Batalin–Vilkovisky (BV) formalism. Finally, we will show that the sum of the gauge-fixing term and the ghost term for this theory can be elegantly written down in superspace with a two Grassmann parameter.

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