scholarly journals Renormalizing a Becchi-Rouet-Stora-Tyutin-invariant composite operator of mass dimension 2 in Yang-Mills theory

2002 ◽  
Vol 65 (8) ◽  
Author(s):  
K.-I. Kondo ◽  
T. Murakami ◽  
T. Shinohara ◽  
T. Imai
Keyword(s):  
Composite Operator ◽  
Yang Mills ◽  
Mass Dimension ◽  
Dimension 2

The Palais–Smale conditions for the Yang–Mills functional

1988 ◽  
Vol 108 (3-4) ◽  
pp. 189-200
Author(s):  
D. R. Wilkins
Keyword(s):  
Riemannian Manifold ◽  
Principal Bundle ◽  
Compact Riemannian Manifold ◽  
Hilbert Manifold ◽  
Yang Mills ◽  
Palais Smale Condition ◽  
Dimension 2

SynopsisWe consider the Yang–Mills functional denned on connections on a principal bundle over a compact Riemannian manifold of dimension 2 or 3. It is shown that if we consider the Yang–Mills functional as being defined on an appropriate Hilbert manifold of orbits of connections under the action of the group of principal bundle automorphisms, then the functional satisfies the Palais–Smale condition.

scholarly journals Erratum: Composite operator and condensate in the SU(N) Yang-Mills theory with U(N−1) stability group [Phys. Rev. D 97 , 034029 (2018)]

2018 ◽  
Vol 98 (5) ◽  
Author(s):  
Matthias Warschinke ◽  
Ryutaro Matsudo ◽  
Shogo Nishino ◽  
Toru Shinohara ◽  
Kei-Ichi Kondo
Keyword(s):  
Composite Operator ◽  
Yang Mills ◽  
Stability Group

scholarly journals Composite operator and condensate in the SU(N) Yang-Mills theory with U(N−1) stability group

2018 ◽  
Vol 97 (3) ◽  
Author(s):  
Matthias Warschinke ◽  
Ryutaro Matsudo ◽  
Shogo Nishino ◽  
Toru Shinohara ◽  
Kei-Ichi Kondo
Keyword(s):  
Composite Operator ◽  
Yang Mills ◽  
Stability Group

scholarly journals Non-perturbative propagators and dimension 2 condensate in Yang-Mills theory

2004 ◽  
Vol 129-130 ◽  
pp. 718-720 ◽  
Author(s):  
Takeharu Murakami ◽  
Kei-ichi Kondo ◽  
Toru Shinohara ◽  
Akihiro Shibata
Keyword(s):  
Yang Mills ◽  
Dimension 2

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 Gluon–ghost condensate of mass dimension 2 in the Curci–Ferrari gauge

2003 ◽  
Vol 308 (1) ◽  
pp. 62-77 ◽  
Author(s):  
D. Dudal ◽  
H. Verschelde ◽  
V.E.R. Lemes ◽  
M.S. Sarandy ◽  
S.P. Sorella ◽  
...  
Keyword(s):  
Mass Dimension ◽  
Dimension 2

scholarly journals Composite operator and condensate in SU(N) Yang-Mills theory with U(N-1) stability group

2019 ◽  
Author(s):  
Matthias Warschinke ◽  
Ryutaro Matsudo ◽  
Shogo Nishino ◽  
Toru Shinohara ◽  
Kei-Ichi Kondo
Keyword(s):  
Composite Operator ◽  
Yang Mills ◽  
Stability Group
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