scholarly journals Spaces of regular gauge field configurations on a lattice and gauge fixing conditions

1985 ◽  
Vol 99 (1) ◽  
pp. 75-102 ◽  
Author(s):  
T. Bałaban
Keyword(s):  
Gauge Field ◽  
Gauge Fixing

scholarly journals SELF-DUALITY OF SUPER D3-BRANE ACTION ON AdS5×S5 BACKGROUND

1999 ◽  
Vol 14 (05) ◽  
pp. 327-335 ◽  
Author(s):  
T. KIMURA
Keyword(s):  
Gauge Field ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Duality Transformation ◽  
Self Duality ◽  
World Volume ◽  
The World ◽  
Gauge Fixing ◽  
Necessary And Sufficient ◽  
Brane Action

We show that the super D3-brane action on AdS5×S5 background recently constructed by Metsaev and Tseytlin is exactly invariant under the combination of the electric–magnetic duality transformation of the world-volume gauge field and the SO(2) rotation of N=2 spinor coordinates. The action is shown to satisfy the Gaillard–Zumino duality condition, which is a necessary and sufficient condition for an action to be self-dual. Our proof needs no gauge fixing for the κ-symmetry.

BRST QUANTIZATION OF GAUGE THEORIES ON THE HYPERSPHERE

1991 ◽  
Vol 06 (24) ◽  
pp. 2201-2203 ◽  
Author(s):  
D. G. C. McKEON
Keyword(s):  
Vector Field ◽  
Gauge Field ◽  
Gauge Theories ◽  
Brst Quantization ◽  
Radial Component ◽  
Effective Lagrangian ◽  
Abelian Case ◽  
Gauge Fixing

Drummond and Shore have shown that the most convenient gauge fixing term for gauge theories on a hypersphere is not a perfect square. We show how BRST quantization can be used to generate this gauge fixing term. This involves the introduction of two ghost fields, ci and [Formula: see text], the second of which is an anticommuting vector field. In the Abelian case, only the radial component of [Formula: see text] enters the effective Lagrangian; this is true in the non-Abelian case only if the gauge field is tangential to the hypersphere.

Several one-loop calculations in a formulation of massive quantum electrodynamics possessing only vacuum-polarization divergences

1985 ◽  
Vol 63 (10) ◽  
pp. 1337-1342
Author(s):  
Stephen Phillips
Keyword(s):  
Gauge Field ◽  
Quantum Electrodynamics ◽  
Explicit Calculation ◽  
Alternative Formulation ◽  
Fermion Field ◽  
Wave Function Renormalization ◽  
Mass Insertion ◽  
Gauge Fixing ◽  
Simple Mass ◽  
Perturbative Quantum

An alternative formulation of path-integral quantization for gauge theories is proposed in which the gauge-fixing condition, normally imposed on just the gauge field itself, is imposed on the gauge-transformed gauge field, a continuous sum now being included over all configurations of the transformation field, Λ(x), that satisfy the gauge condition.It is shown, by explicit calculation, that when bilinear counterterms in the Lagrangian field density are included so as to render the two-point gauge- and fermion-field Green's functions finite, the fermion–fermion–gauge-field Green's function is divergence free. Unlike the more conventional approaches, there is no divergent vertex counterterm needed. Furthermore, the form of the fermion counterterm is a simple mass insertion only. There is no need for a divergent fermion wave-function renormalization. The cancellation of the divergences that are normally present is accomplished by the effect of, heretofor uncommon in perturbative quantum-field theory, infrared-divergent integrals. It is argued heuristically how these may be regulated by the same parameter, Λ, that is used for ultraviolet-divergent integrals, where now the cutoff is towards the lower limit of integration.

scholarly journals Gauge fixing the SU(N) lattice-gauge-field Hamiltonian

1985 ◽  
Vol 32 (10) ◽  
pp. 2774-2779 ◽  
Author(s):  
Belal E. Baaquie
Keyword(s):  
Gauge Field ◽  
Lattice Gauge ◽  
Gauge Fixing

scholarly journals TWO-DIMENSIONAL QUANTUM CHROMODYNAMICS ON A CYLINDER

1992 ◽  
Vol 07 (40) ◽  
pp. 3783-3788 ◽  
Author(s):  
S. GURUSWAMY ◽  
S.G. RAJEEV
Keyword(s):  
Quantum Chromodynamics ◽  
Gauge Field ◽  
Light Cone ◽  
Wilson Loop ◽  
Degrees Of Freedom ◽  
Fock Space ◽  
Two Dimensional ◽  
Gauge Fixing ◽  
Dynamical Degrees

We study two-dimensional quantum chromodynamics with massive quarks on a cylinder in a light-cone formalism. We eliminate the non-dynamical degrees of freedom and express the theory in terms of the quark and Wilson loop variables. It is possible to perform this reduction without gauge fixing. The fermionic Fock space can be defined independent of the gauge field in this light-cone formalism.

scholarly journals Renormalizability of pure 𝒩 = 1 super-Yang–Mills in the Wess–Zumino gauge in the presence of the local composite operators A2 and λ̄λ

2018 ◽  
Vol 33 (28) ◽  
pp. 1850161 ◽  
Author(s):  
M. A. L. Capri ◽  
S. P. Sorella ◽  
R. C. Terin ◽  
H. C. Toledo
Keyword(s):  
Gauge Field ◽  
Landau Gauge ◽  
Composite Operator ◽  
Nonlinear Realization ◽  
Yang Mills ◽  
Invariant Action ◽  
Renormalization Factor ◽  
Gauge Fixing ◽  
Multiplicative Renormalizability ◽  
Supersymmetric Structure

The [Formula: see text] super-Yang–Mills theory in the presence of the local composite operator [Formula: see text] is analyzed in the Wess–Zumino gauge by employing the Landau gauge fixing condition. Due to the supersymmetric structure of the theory, two more composite operators, [Formula: see text] and [Formula: see text], related to the SUSY variations of [Formula: see text] are also introduced. A BRST invariant action containing all these operators is obtained. An all-order proof of the multiplicative renormalizability of the resulting theory is then provided by means of the algebraic renormalization setup. Though, due to the nonlinear realization of the supersymmetry in the Wess–Zumino gauge, the renormalization factor of the gauge field turns out to be different from that of the gluino.

scholarly journals Topological gauge fixing II: A homotopy formulation

2015 ◽  
Vol 30 (20) ◽  
pp. 1550102 ◽  
Author(s):  
L. Gallot ◽  
E. Pilon ◽  
F. Thuillier
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Simons Theory ◽  
Homotopy Operator ◽  
Link Invariants ◽  
Gauge Fixing ◽  
Chern Simons ◽  
Chern Simons Theory

We revisit the implementation of the metric-independent Fock–Schwinger gauge in the Abelian Chern–Simons field theory defined in ℝ3 by means of a homotopy condition. This leads to the Lagrangian [Formula: see text] in terms of curvatures F and of the Poincaré homotopy operator h. The corresponding field theory provides the same link invariants as the Abelian Chern–Simons theory. Incidentally the part of the gauge field propagator which yields the link invariants of the Chern–Simons theory in the Fock–Schwinger gauge is recovered without any computation.

A study of the path-integral quantization of Abelian gauge theories when no explicit gauge-fixing term is included in the bilinear part of the gauge-field action

1985 ◽  
Vol 63 (10) ◽  
pp. 1334-1336
Author(s):  
Stephen Phillips
Keyword(s):  
Gauge Field ◽  
Path Integral ◽  
Green's Functions ◽  
Gauge Theories ◽  
Green’S Functions ◽  
Abelian Gauge ◽  
Gaussian Form ◽  
Path Integral Quantization ◽  
Field Action ◽  
Gauge Fixing

The mathematical problem of inverting the operator [Formula: see text] as it arises in the path-integral quantization of an Abelian gauge theory, such as quantum electrodynamics, when no gauge-fixing Lagrangian field density is included, is studied in this article.Making use of the fact that the Schwinger source functions, which are introduced for the purpose of generating Green's functions, are free of divergence, a result that follows from the conversion of the exponentiated action into a Gaussian form, the apparently noninvertible partial differential equation, [Formula: see text], can, by the addition and subsequent subtraction of terms containing the divergence of the source function, be cast into a form that does possess a Green's function solution. The gauge-field propagator is the same as that obtained by the conventional technique, which involves gauge fixing when the gauge parameter, α, is set equal to one.Such an analysis suggests also that, provided the effect of fictitious particles that propagate only in closed loops are included for the study of Green's functions in non-Abelian gauge theories in Landau-type gauges, then, in quantizing either Abelian gauge theories or non-Abelian gauge theories in this generic kind of gauge, it is not necessary to add an explicit gauge-fixing term to the bilinear part of the gauge-field action.

scholarly journals Topological gauge fixing

2014 ◽  
Vol 29 (23) ◽  
pp. 1450121 ◽  
Author(s):  
L. Gallot ◽  
E. Guadagnini ◽  
E. Pilon ◽  
F. Thuillier
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Linking Number ◽  
Gauge Fixing ◽  
Chern Simons

We implement the metric-independent Fock–Schwinger gauge in the quantum Chern–Simons (CS) field theory defined in a three-manifold M which is homeomorphic with ℝ3. The expressions of various components of the propagator are determined. Although the gauge field propagator differs from the Gauss linking density, we prove that its integral along two oriented knots is equal to the linking number.

scholarly journals CONFORMAL SCALING GAUGE SYMMETRY AND INFLATIONARY UNIVERSE

2005 ◽  
Vol 20 (04) ◽  
pp. 811-820 ◽  
Author(s):  
YUE-LIANG WU
Keyword(s):  
Scalar Field ◽  
Gauge Symmetry ◽  
Gauge Field ◽  
Power Law ◽  
Background Field ◽  
Inflationary Universe ◽  
Fundamental Symmetry ◽  
Pure Gauge ◽  
Gauge Fixing ◽  
The Universe

Considering the conformal scaling gauge symmetry as a fundamental symmetry of nature in the presence of gravity, a scalar field is required and used to describe the scale behavior of the universe. In order for the scalar field to be a physical field, a gauge field is necessary to be introduced. A gauge invariant potential action is constructed by adopting the scalar field and a real Wilson-like line element of the gauge field. Of particular, the conformal scaling gauge symmetry can be broken down explicitly via fixing gauge to match the Einstein–Hilbert action of gravity. As a nontrivial background field solution of pure gauge has a minimal energy in gauge interactions, the evolution of the universe is then dominated at earlier time by the potential energy of background field characterized by a scalar field. Since the background field of pure gauge leads to an exponential potential model of a scalar field, the universe is driven by a power-law inflation with the scale factor a(t)~tp. The power-law index p is determined by a basic gauge fixing parameter gF via [Formula: see text]. For the gauge fixing scale being the Planck mass, we are led to a predictive model with gF=1 and p≃62.

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