Ward identities in a general axial gauge. I. Yang-Mills theory

1982 ◽  
Vol 25 (4) ◽  
pp. 1002-1008 ◽  
Author(s):  
D. M. Capper ◽  
George Leibbrandt
Keyword(s):  
Ward Identities ◽  
Yang Mills ◽  
Axial Gauge

scholarly journals Analysis of Ward identities in supersymmetric Yang–Mills theory

2018 ◽  
Vol 78 (5) ◽  
Author(s):  
Sajid Ali ◽  
Georg Bergner ◽  
Henning Gerber ◽  
Istvan Montvay ◽  
Gernot Münster ◽  
...  
Keyword(s):  
Ward Identities ◽  
Yang Mills

Generalized Ward identities and Yang-Mills fields

1970 ◽  
Vol 21 (1) ◽  
pp. 288-302 ◽  
Author(s):  
M Veltman
Keyword(s):  
Ward Identities ◽  
Yang Mills

scholarly journals CURRENT ALGEBRA AND SUPERSYMMETRY

1986 ◽  
Vol 01 (03) ◽  
pp. 499-544 ◽  
Author(s):  
G.M. SHORE ◽  
G. VENEZIANO
Keyword(s):  
Supersymmetry Breaking ◽  
Current Algebra ◽  
Gauge Theories ◽  
Critical Assessment ◽  
Ward Identities ◽  
Yang Mills ◽  
Effective Lagrangian ◽  
Soft Supersymmetry Breaking ◽  
Supersymmetric Gauge ◽  
Chiral Superfield

The implications of supersymmetry and chiral Ward identities in supersymmetric gauge theories are explored using current algebra methods, and a critical assessment is made of the relative merits of the current algebra and effective Lagrangian approaches. Using the Ward identities directly, simple derivations are given of several important properties of the condensates in supersymmetric QCD, and of the generalized Dashen formulae. The corrections to these results in the presence of explicit, soft supersymmetry breaking are calculated. A concise formula is presented for the mass splittings within pseudo Goldstone multiplets induced by soft supersymmetry breaking terms. It is shown that if this supersymmetry breaking is the θ=0 component of a chiral superfield, the supertrace of the pseudo Goldstone masses vanishes. Using current algebra reduction formulae, the pseudo Goldstone masses are calculated in supersymmetric Yang-Mills theory, and supersymmetric QCD for NF<NC and NF=NC. Some differences are found between the current algebra and effective Lagrangian predictions, and their possible origins are discussed.

scholarly journals Continuum extrapolation of Ward identities in $${{\mathcal {N}}=1}$$ supersymmetric SU(3) Yang–Mills theory

2020 ◽  
Vol 80 (6) ◽  
Author(s):  
Sajid Ali ◽  
Georg Bergner ◽  
Henning Gerber ◽  
Istvan Montvay ◽  
Gernot Münster ◽  
...  
Keyword(s):  
Ward Identities ◽  
Yang Mills

scholarly journals CONSISTENT AXIAL-LIKE GAUGE FIXING ON HYPERTORI

1994 ◽  
Vol 09 (31) ◽  
pp. 2913-2926 ◽  
Author(s):  
EDWIN LANGMANN ◽  
MANFRED SALMHOFER ◽  
ALEX KOVNER
Keyword(s):  
Gauge Group ◽  
Discrete Group ◽  
Gauge Condition ◽  
Polyakov Loop ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Axial Gauge ◽  
Gauge Fixing ◽  
Gribov Copies

We analyze the Gribov problem for SU (N) and U (N) Yang–Mills fields on d-dimensional tori, d = 2, 3, …. We give an improved version of the axial gauge condition and find an infinite, discrete group [Formula: see text] where r = N − 1 and N for G = SU (N) and U (N) respectively, containing all gauge transformations compatible with that condition. This residual gauge group [Formula: see text] provides all Gribov copies for nondegenerate configurations in d = 2 and for those of them for which all winding numbers of the Wilson–Polyakov loop in one direction vanish in d ≥ 3. This shows that the space of gauge orbits is an orbifold. We derive this result both in the Lagrangian and in the Hamiltonian framework.

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