Anomalies. BRS Symmetry and Superconnections

Differential Geometric Methods in Theoretical Physics - NATO ASI Series ◽

10.1007/978-1-4684-9148-7_49 ◽

1990 ◽

pp. 485-491

Author(s):

Allen C. Hirshfeld

Keyword(s):

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Action principles, restoration of BRS symmetry and the renormalization group equation for chiral non-Abelian gauge theories in dimensional renormalization with a non-anticommuting γ5

Nuclear Physics B ◽

10.1016/s0550-3213(99)00453-8 ◽

2000 ◽

Vol 572 (1-2) ◽

pp. 387-477 ◽

Author(s):

C.P. Martı́n ◽

D. Sánchez-Ruiz

Keyword(s):

Renormalization Group ◽

Gauge Theories ◽

Renormalization Group Equation ◽

Group Equation ◽

Abelian Gauge ◽

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Gauge independence through extended BRS symmetry: Application to the light-cone gauge

Physical and Nonstandard Gauges - Lecture Notes in Physics ◽

10.1007/bfb0015153 ◽

2005 ◽

pp. 185-194

Author(s):

Olivier Piguet

Keyword(s):

Light Cone Gauge ◽

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BRS Symmetry for Abelian Gauge Theories

Progress of Theoretical Physics ◽

10.1143/ptp.61.315 ◽

1979 ◽

Vol 61 (1) ◽

pp. 315-325 ◽

Author(s):

S. Midorikawa

Keyword(s):

Gauge Theories ◽

Abelian Gauge ◽

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Kaluza-Klein theory and BRS symmetry

Physics Letters B ◽

10.1016/0370-2693(81)91218-1 ◽

1981 ◽

Vol 107 (6) ◽

pp. 412-414 ◽

Author(s):

Akio Hosoya ◽

Yoshiaki Ohkuwa ◽

Kazuhiko Omote

Keyword(s):

Klein Theory ◽

Brs Symmetry ◽

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Exact BRS Symmetry Realized along the Renormalization Group Flow

Progress of Theoretical Physics ◽

10.1143/ptp.104.1053 ◽

2000 ◽

Vol 104 (5) ◽

pp. 1053-1066 ◽

Author(s):

Y. Igarashi ◽

K. Itoh ◽

H. So

Keyword(s):

Renormalization Group ◽

Renormalization Group Flow ◽

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Gauged BRS symmetry for the Weyl×Lorentz×diffeomorphism group

Physical Review D ◽

10.1103/physrevd.38.3174 ◽

1988 ◽

Vol 38 (10) ◽

pp. 3174-3177 ◽

Author(s):

A. Bouda

Keyword(s):

Diffeomorphism Group ◽

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BRS symmetry versus supersymmetry in Yang-Mills-Chem-Simons theory

Nuclear Physics B ◽

10.1016/s0550-3213(96)00671-2 ◽

1997 ◽

Vol 486 (1-2) ◽

pp. 443-465 ◽

Author(s):

F. Ruiz Ruiz ◽

P. van Nieuwenhuizen

Keyword(s):

Simons Theory ◽

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Faddeev-Popov Ghosts and BRS Symmetry in String Theories

Progress of Theoretical Physics Supplement ◽

10.1143/ptps.86.70 ◽

1986 ◽

Vol 86 ◽

pp. 70-80 ◽

Author(s):

John H. Schwarz

Keyword(s):

Brs Symmetry ◽

String Theories

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PERTURBATIVE QUANTUM GAUGE FIELDS ON THE NONCOMMUTATIVE TORUS

International Journal of Modern Physics A ◽

10.1142/s0217751x00000495 ◽

2000 ◽

Vol 15 (07) ◽

pp. 1011-1029 ◽

Author(s):

THOMAS KRAJEWSKI ◽

RAIMAR WULKENHAAR

Keyword(s):

Gauge Fields ◽

Infrared Singularity ◽

Noncommutative Torus ◽

Free Theory ◽

Feynman Rules ◽

Perturbative Quantum ◽

The One ◽

Brs Symmetry ◽

Invariant Regularization

Using standard field theoretical techniques, we survey pure Yang–Mills theory on the noncommutative torus, including Feynman rules and BRS symmetry. Although in general free of any infrared singularity, the theory is ultraviolet divergent. Because of an invariant regularization scheme, this theory turns out to be renormalizable and the detailed computation of the one-loop counterterms is given, leading to an asymptotically free theory. Besides, it turns out that nonplanar diagrams are overall convergent when θ is irrational.

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EXACT SYMMETRIES REALIZED ON THE RG FLOW

International Journal of Modern Physics A ◽

10.1142/s0217751x01004682 ◽

2001 ◽

Vol 16 (11) ◽

pp. 2047-2051

Author(s):

Y. IGARASHI ◽

K. ITOH ◽

H. SO

Keyword(s):

We show that the BRS symmetry is present even with the finite IR cutoff in the Wilsonian RG approach. Based on the antifield formalism, we explain how the symmetry is realized on the RG flow.

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