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 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.

scholarly journals Fourier acceleration in lattice gauge theories. I. Landau gauge fixing

1988 ◽  
Vol 37 (6) ◽  
pp. 1581-1588 ◽  
Author(s):  
C. T. H. Davies ◽  
G. G. Batrouni ◽  
G. R. Katz ◽  
A. S. Kronfeld ◽  
G. P. Lepage ◽  
...  
Keyword(s):  
Gauge Theories ◽  
Landau Gauge ◽  
Lattice Gauge ◽  
Gauge Fixing ◽  
Lattice Gauge Theories

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.

Boundary conditions, gauge fixing ambiguities and exact expectation values in U(1) lattice gauge theory

2016 ◽  
Vol 31 (08) ◽  
pp. 1650035
Author(s):  
Carlos Pinto
Keyword(s):  
Gauge Theory ◽  
Boundary Conditions ◽  
Weak Coupling ◽  
Lattice Gauge Theory ◽  
Exact Results ◽  
Feynman Gauge ◽  
Lattice Gauge ◽  
Coupling Approximation ◽  
Gauge Fixing ◽  
Weak Coupling Approximation

We analyze the interplay between gauge fixing and boundary conditions in two-dimensional U(1) lattice gauge theory. We show on the basis of a general argument that periodic boundary conditions result in an ill-defined weak coupling approximation but that the approximation can be made well-defined if the boundaries are fixed to zero. We confirm this result in the particular case of the Feynman gauge. We show that the zero momentum mode divergence in the propagator that appears in the Feynman gauge vanishes when the weak coupling approximation is well-defined. In addition we obtain exact results (for arbitrary coupling), including finite size corrections, for the partition function and for general one-point and two-point functions in the axial gauge under both periodic and zero boundary conditions and confirm these results numerically. The dependence of these objects on both lattice size and coupling constant is investigated using specific examples. These exact results may provide insight into similar gauge fixing issues in more complex models.

scholarly journals Topological Interpretations of Lattice Gauge Field Theory

1998 ◽  
Vol 198 (1) ◽  
pp. 47-81 ◽  
Author(s):  
Doug Bullock ◽  
Charles Frohman ◽  
Joanna Kania-Bartoszyńska
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Gauge Field Theory ◽  
Lattice Gauge
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