Spontaneous symmetry breaking in a 2+1-dimensional four-Fermi gauge-field theory at finite temperature and within a large-N scheme

1997 ◽  
Vol 55 (10) ◽  
pp. 6485-6490
Author(s):  
S. Sakhi
Keyword(s):  
Field Theory ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Gauge Field ◽  
Finite Temperature ◽  
Gauge Field Theory ◽  
Large N

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.

SYMMETRY BREAKING IN GAUGE FIELD THEORY DUE TO NONCOMMUTATIVE SPACETIME

2005 ◽  
Vol 14 (02) ◽  
pp. 215-218 ◽  
Author(s):  
B. G. SIDHARTH
Keyword(s):  
Field Theory ◽  
Symmetry Breaking ◽  
Gauge Field ◽  
Gauge Field Theory ◽  
Yang Mills ◽  
Interaction Field ◽  
Breaking Mechanism ◽  
Noncommutative Spacetime ◽  
Usual Theory

It is well known that a typical Yang–Mills Gauge Field is mediated by massless Bosons. It is only through a symmetry breaking mechanism, as in the Salam–Weinberg model that the quanta of such an interaction field acquire a mass in the usual theory. Here, we demonstrate that without taking recourse to the usual symmetry breaking mechanism, it is still possible to achieve this, given a noncommutative geometrical underpinning for spacetime.

Symmetry breaking by Wilson loops in gauge field theory

1989 ◽  
Vol 39 (4) ◽  
pp. 1196-1209 ◽  
Author(s):  
J. S. Dowker ◽  
S. P. Jadhav
Keyword(s):  
Field Theory ◽  
Symmetry Breaking ◽  
Gauge Field ◽  
Gauge Field Theory ◽  
Wilson Loops

scholarly journals Impact of center vortex removal on chiral symmetry breaking in SU(3) gauge field theory

2011 ◽  
Author(s):  
Derek Leinweber ◽  
S. Mahbub ◽  
Waseem Kamleh ◽  
Peter J Moran ◽  
A. G. Williams
Keyword(s):  
Field Theory ◽  
Symmetry Breaking ◽  
Gauge Field ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Gauge Field Theory ◽  
Center Vortex

Riemann–Weyl in Deleuze's Bergsonism and the Constitution of the Contemporary Physico-Mathematical Space

2015 ◽  
Vol 9 (1) ◽  
pp. 59-87 ◽  
Author(s):  
Martin Calamari
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Fibre Bundle ◽  
History Of Mathematics ◽  
Gauge Field Theory ◽  
Contemporary Science ◽  
Explicit Mention ◽  
History Of ◽  
Key Features ◽  
Bernhard Riemann

In recent years, the ideas of the mathematician Bernhard Riemann (1826–66) have come to the fore as one of Deleuze's principal sources of inspiration in regard to his engagements with mathematics, and the history of mathematics. Nevertheless, some relevant aspects and implications of Deleuze's philosophical reception and appropriation of Riemann's thought remain unexplored. In the first part of the paper I will begin by reconsidering the first explicit mention of Riemann in Deleuze's work, namely, in the second chapter of Bergsonism (1966). In this context, as I intend to show first, Deleuze's synthesis of some key features of the Riemannian theory of multiplicities (manifolds) is entirely dependent, both textually and conceptually, on his reading of another prominent figure in the history of mathematics: Hermann Weyl (1885–1955). This aspect has been largely underestimated, if not entirely neglected. However, as I attempt to bring out in the second part of the paper, reframing the understanding of Deleuze's philosophical engagement with Riemann's mathematics through the Riemann–Weyl conjunction can allow us to disclose some unexplored aspects of Deleuze's further elaboration of his theory of multiplicities (rhizomatic multiplicities, smooth spaces) and profound confrontation with contemporary science (fibre bundle topology and gauge field theory). This finally permits delineation of a correlation between Deleuze's plane of immanence and the contemporary physico-mathematical space of fundamental interactions.

Sign in / Sign up

Export Citation Format

Share Document