scholarly journals Further Study of BRST-Symmetry Breaking on the Lattice

2016 ◽  
Author(s):  
Attilio Cucchieri ◽  
Tereza Mendes
Keyword(s):  
Symmetry Breaking ◽  
Brst Symmetry

Notes on Soft BRST Symmetry Breaking within the Batalin–Vilkovisky Formalism

2013 ◽  
Vol 55 (9) ◽  
pp. 1005-1010 ◽  
Author(s):  
O. V. Radchenko ◽  
A. A. Reshetnyak
Keyword(s):  
Symmetry Breaking ◽  
Brst Symmetry

scholarly journals Field-dependent BRST–anti-BRST Lagrangian transformations

2015 ◽  
Vol 30 (04n05) ◽  
pp. 1550021 ◽  
Author(s):  
Pavel Yu. Moshin ◽  
Alexander A. Reshetnyak
Keyword(s):  
Symmetry Breaking ◽  
Ward Identity ◽  
Brst Symmetry ◽  
Lagrangian Formalism ◽  
Yang Mills ◽  
Gauge Dependence ◽  
Change Of Variables ◽  
Field Dependent ◽  
Renormalization Group Approach ◽  
Quantum Action

We continue our study of finite BRST–anti-BRST transformations for general gauge theories in Lagrangian formalism, initiated in [arXiv:1405.0790 [hep-th] and arXiv:1406.0179 [hep-th]], with a doublet λa, a = 1, 2, of anticommuting Grassmann parameters, and prove the correctness of the explicit Jacobian in the partition function announced in [arXiv:1406.0179 [hep-th]], which corresponds to a change of variables with functionally dependent parameters λa = UaΛ induced by a finite Bosonic functional Λ(ϕ, π, λ) and by the anticommuting generators Ua of BRST–anti-BRST transformations in the space of fields ϕ and auxiliary variables πa, λ. We obtain a Ward identity depending on the field-dependent parameters λa and study the problem of gauge dependence, including the case of Yang–Mills theories. We examine a formulation with BRST–anti-BRST symmetry breaking terms, additively introduced into the quantum action constructed by the Sp(2)-covariant Lagrangian rules, obtain the Ward identity and investigate the gauge independence of the corresponding generating functional of Green's functions. A formulation with BRST symmetry breaking terms is developed. It is argued that the gauge independence of the above generating functionals is fulfilled in the BRST and BRST–anti-BRST settings. These concepts are applied to the average effective action in Yang–Mills theories within the functional renormalization group approach.

scholarly journals Gribov horizon and spontaneous BRST symmetry breaking

2012 ◽  
Vol 86 (4) ◽  
Author(s):  
David Dudal ◽  
Silvio Paolo Sorella
Keyword(s):  
Symmetry Breaking ◽  
Brst Symmetry

scholarly journals (NON-)ALIGNED GAUGES AND GLOBAL GAUGE SYMMETRY BREAKING

2012 ◽  
Vol 27 (38) ◽  
pp. 1250222 ◽  
Author(s):  
AXEL MAAS
Keyword(s):  
Gauge Theory ◽  
Gauge Symmetry ◽  
Symmetry Breaking ◽  
Lattice Gauge Theory ◽  
Brst Symmetry ◽  
Baryon Density ◽  
Lattice Gauge ◽  
Global Gauge ◽  
Higgs Effect

The concept of (global) gauge symmetry breaking plays an important role in many areas of physics. Since the corresponding symmetry is a gauge symmetry, its breaking is actually gauge-dependent. Thus, it is possible to design gauges which restore the symmetry as good as possible. Such gauge constructions will be detailed here, illustrated with the use of lattice gauge theory. Their use will be discussed for the cases of the Higgs effect, high-baryon density color superconductors, and BRST symmetry.

scholarly journals BRST-symmetry breaking and Bose-ghost propagator in lattice minimal Landau gauge

2014 ◽  
Vol 90 (5) ◽  
Author(s):  
Attilio Cucchieri ◽  
David Dudal ◽  
Tereza Mendes ◽  
Nele Vandersickel
Keyword(s):  
Symmetry Breaking ◽  
Brst Symmetry ◽  
Landau Gauge ◽  
Ghost Propagator

scholarly journals Evidence of BRST-Symmetry Breaking in Lattice Minimal Landau Gauge

2015 ◽  
Author(s):  
Attilio Cucchieri ◽  
David Dudal ◽  
Tereza Mendes ◽  
Nele Vandersickel
Keyword(s):  
Symmetry Breaking ◽  
Brst Symmetry ◽  
Landau Gauge

Symmetry breaking in convergent-beam diffraction

1989 ◽  
Vol 47 ◽  
pp. 480-481
Author(s):  
D.J. Eaglesham
Keyword(s):  
Symmetry Breaking ◽  
Point Group ◽  
X Ray Diffraction ◽  
Multiple Diffraction ◽  
Space Groups ◽  
Atomic Displacements ◽  
Small Probe ◽  
Phase Sensitive ◽  
Convergent Beam

Convergent Beam Electron Diffraction is now almost routinely used in the determination of the point- and space-groups of crystalline samples. In addition to its small-probe capability, CBED is also postulated to be more sensitive than X-ray diffraction in determining crystal symmetries. Multiple diffraction is phase-sensitive, so that the distinction between centro- and non-centro-symmetric space groups should be trivial in CBED: in addition, the stronger scattering of electrons may give a general increase in sensitivity to small atomic displacements. However, the sensitivity of CBED symmetry to the crystal point group has rarely been quantified, and CBED is also subject to symmetry-breaking due to local strains and inhomogeneities. The purpose of this paper is to classify the various types of symmetry-breaking, present calculations of the sensitivity, and illustrate symmetry-breaking by surface strains.CBED symmetry determinations usually proceed by determining the diffraction group along various zone axes, and hence finding the point group. The diffraction group can be found using either the intensity distribution in the discs

Centrosome Aurora A gradient ensures single polarity axis in C. elegans embryos

2020 ◽  
Vol 48 (3) ◽  
pp. 1243-1253 ◽  
Author(s):  
Sukriti Kapoor ◽  
Sachin Kotak
Keyword(s):  
Symmetry Breaking ◽  
Cell Fate ◽  
Cell Cortex ◽  
Axis Formation ◽  
Aurora A Kinase ◽  
Aurora A ◽  
C Elegans ◽  
Cell Embryo ◽  
Polarity Establishment

Cellular asymmetries are vital for generating cell fate diversity during development and in stem cells. In the newly fertilized Caenorhabditis elegans embryo, centrosomes are responsible for polarity establishment, i.e. anterior–posterior body axis formation. The signal for polarity originates from the centrosomes and is transmitted to the cell cortex, where it disassembles the actomyosin network. This event leads to symmetry breaking and the establishment of distinct domains of evolutionarily conserved PAR proteins. However, the identity of an essential component that localizes to the centrosomes and promotes symmetry breaking was unknown. Recent work has uncovered that the loss of Aurora A kinase (AIR-1 in C. elegans and hereafter referred to as Aurora A) in the one-cell embryo disrupts stereotypical actomyosin-based cortical flows that occur at the time of polarity establishment. This misregulation of actomyosin flow dynamics results in the occurrence of two polarity axes. Notably, the role of Aurora A in ensuring a single polarity axis is independent of its well-established function in centrosome maturation. The mechanism by which Aurora A directs symmetry breaking is likely through direct regulation of Rho-dependent contractility. In this mini-review, we will discuss the unconventional role of Aurora A kinase in polarity establishment in C. elegans embryos and propose a refined model of centrosome-dependent symmetry breaking.

A Symmetry-Breaking Theory of False Pop Out

2011 ◽  
Author(s):  
Kimberley D. Orsten ◽  
Mary C. Portillo ◽  
James R. Pomerantz
Keyword(s):  
Symmetry Breaking
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