scholarly journals Gauge invariance of the dimension-two condensate in the Yang-Mills theory

2005 ◽  
Vol 143 (1) ◽  
pp. 489-493 ◽  
Author(s):  
A. A. Slavnov
Keyword(s):  
Gauge Invariance ◽  
Yang Mills

scholarly journals Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance

1994 ◽  
Vol 421 (2) ◽  
pp. 429-455 ◽  
Author(s):  
M. Bonini ◽  
M. D'Attanasio ◽  
G. Marchesini
Keyword(s):  
Renormalization Group ◽  
Gauge Invariance ◽  
Renormalization Group Flow ◽  
Yang Mills ◽  
Group Flow

scholarly journals THE PROPER TIME FORMALISM, GAUGE INVARIANCE AND THE EFFECTS OF A FINITE WORLD SHEET CUTOFF IN STRING THEORY

1995 ◽  
Vol 10 (31) ◽  
pp. 4501-4519 ◽  
Author(s):  
B. SATHIAPALAN
Keyword(s):  
Gauge Transformation ◽  
Gauge Invariance ◽  
Proper Time ◽  
World Sheet ◽  
Massive Mode ◽  
Yang Mills ◽  
Previous Discussion ◽  
Time Formalism ◽  
Klein Gordon ◽  
Type Interaction

We discuss the issue of going off-shell in the proper time formalism. This is done by keeping a finite world sheet cutoff. We construct one example of an off-shell covariant Klein-Gordon type interaction. For a suitable choice of the gauge transformation of the scalar field, gauge invariance is maintained off-mass-shell. However, at the second order in the gauge field interaction, one finds that [U(1)] gauge invariance is violated due to the finite cutoff. Interestingly, we find, to the lowest order, that by adding a massive mode with appropriate gauge transformation laws to the sigma model background, we can restore gauge invariance. The gauge transformation law is found to be consistent, to the order calculated, with what one expects from the interacting equation of motion of the massive field. We also extend some previous discussion on applying the proper time formalism for propagating gauge particles, to the interacting (i.e. Yang-Mills) case.

scholarly journals LOOP VARIABLES WITH CHAN–PATON FACTORS

2004 ◽  
Vol 19 (01) ◽  
pp. 59-70 ◽  
Author(s):  
B. SATHIAPALAN
Keyword(s):  
Gauge Invariance ◽  
Continuum Limit ◽  
Open String ◽  
Equation Of Motion ◽  
Low Energy ◽  
Scale Transformation ◽  
Abelian Gauge ◽  
Rotation Symmetry ◽  
Yang Mills ◽  
Massless Fields

The loop variable method that has been developed for the U(1) bosonic open string is generalized to include non-Abelian gauge invariance by incorporating "Chan–Paton" gauge group indices. The scale transformation symmetry k(s)→λ(s)k(s) that was responsible for gauge invariance in the U(1) case continues to be a symmetry. In addition there is a non-Abelian "rotation" symmetry. Both symmetries crucially involve the massive modes. However, it is plausible that only a linear combination, which is the usual Yang–Mills transformation on massless fields, has a smooth (worldsheet) continuum limit. We also illustrate how an infinite number of terms in the equation of motion in the cutoff theory add up to give a term that has a smooth continuum limit, and thus contributes to the low energy Yang–Mills equation of motion.

scholarly journals Gauge Invariance and Mass Gap in (2+1)-Dimensional Yang–Mills Theory

1997 ◽  
Vol 12 (06) ◽  
pp. 1161-1171 ◽  
Author(s):  
Dimitra Karabali ◽  
V. P. Nair
Keyword(s):  
Gauge Invariance ◽  
Gauge Theories ◽  
Abelian Gauge ◽  
Gauge Invariant ◽  
Yang Mills ◽  
Mass Gap ◽  
Spatial Dimensions

In terms of a gauge-invariant matrix parametrization of the fields, we give an analysis of how the mass gap could arise in non-Abelian gauge theories in two spatial dimensions.

scholarly journals NON-ABELIAN GAUGE THEORIES AS A CONSEQUENCE OF PERTURBATIVE QUANTUM GAUGE INVARIANCE

1999 ◽  
Vol 14 (21) ◽  
pp. 3421-3432 ◽  
Author(s):  
A. ASTE ◽  
G. SCHARF
Keyword(s):  
Gauge Theory ◽  
Gauge Invariance ◽  
Gauge Theories ◽  
Fundamental Concept ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Yang Mills ◽  
Vector Bosons ◽  
Perturbative Quantum

We show for the case of interacting massless vector bosons, how the structure of Yang–Mills theories emerges automatically from a more fundamental concept, namely perturbative quantum gauge invariance. It turns out that the coupling in a non-Abelian gauge theory is necessarily of Yang–Mills type plus divergence- and coboundary-couplings. The extension of the method to massive gauge theories is briefly discussed.

scholarly journals Lightlike Wilson loops and gauge invariance of Yang-Mills theory in 1+1 dimensions

1994 ◽  
Vol 72 (20) ◽  
pp. 3141-3144 ◽  
Author(s):  
A. Bassetto ◽  
F. De Biasio ◽  
L. Griguolo
Keyword(s):  
Gauge Invariance ◽  
Wilson Loops ◽  
Yang Mills

scholarly journals Boundaries of 11-Dimensional Membranes

1997 ◽  
Vol 12 (34) ◽  
pp. 2641-2645 ◽  
Author(s):  
Martin Cederwall
Keyword(s):  
String Theory ◽  
Gauge Invariance ◽  
Model Coupling ◽  
Yang Mills ◽  
The World ◽  
End Of The World ◽  
Super Yang Mills Theory

The action for an 11-dimensional supermembrane contains a chiral Wess–Zumino–Witten model coupling to the E8 super-Yang–Mills theory on the end-of-the-world nine-brane. It is demonstrated that this boundary string theory is dictated both by gauge invariance and by κ-symmetry.

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