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Gauge anomaly
About: Gauge anomaly is a research topic. Over the lifetime, 6810 publications have been published within this topic receiving 201498 citations.
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TL;DR: In this paper, it was shown that in certain cases vector mesons do indeed acquire mass when the vacuum is degenerate with respect to a compact Lie group, and that strong interaction physics originates from massive gauge fields related to a system of conserved currents.
Abstract: It is of interest to inquire whether gauge vector mesons acquire mass through interaction; by a gauge vector meson we mean a Yang-Mills field associated with the extension of a Lie group from global to local symmetry. The importance of this problem resides in the possibility that strong-interaction physics originates from massive gauge fields related to a system of conserved currents. In this note, we shall show that in certain cases vector mesons do indeed acquire mass when the vacuum is degenerate with respect to a compact Lie group.
4,006 citations
TL;DR: In this paper, it was shown that a wide class of non-Abelian gauge theories have, up to calculable logarithmic corrections, free-field-theory asymptotic behavior.
Abstract: It is shown that a wide class of non-Abelian gauge theories have, up to calculable logarithmic corrections, free-field-theory asymptotic behavior. It is suggested that Bjorken scaling may be obtained from strong-interaction dynamics based on non-Abelian gauge symmetry.
3,334 citations
TL;DR: In this article, a superstring theory for E 8 × 8 × E 8 has been constructed, based on SO(32) and the remaining pieces of all the anomalies cancel if the gauge group is SO (32) or E 8×E 8.
2,550 citations
TL;DR: In this article, the Weyl anomaly for conformal field theories that can be described via the adS/CFT correspondence was calculated for the case d = 2, 4 and 6.
Abstract: We calculate the Weyl anomaly for conformal field theories that can be described via the adS/CFT correspondence. This entails regularizing the gravitational part of the corresponding supergravity action in a manner consistent with general covariance. Up to a constant, the anomaly only depends on the dimension d of the manifold on which the conformal field theory is defined. We present concrete expressions for the anomaly in the physically relevant cases d = 2,4 and 6. In d = 2 we find for the central charge c = 3l/2GN, in agreement with considerations based on the asymptotic symmetry algebra of adS3. In d = 4 the anomaly agrees precisely with that of the corresponding = 4 superconformal SU(N) gauge theory. The result in d = 6 provides new information for the (0, 2) theory, since its Weyl anomaly has not been computed previously. The anomaly in this case grows as N3, where N is the number of coincident M5 branes, and it vanishes for a Ricci-flat background.
2,206 citations
Book•
01 Jan 1987
TL;DR: In this article, the authors synthesize the most promising approaches and ideals in field theory today, including statistical mechanics, quantum field theory and their interrelation, continuous global symmetry, non-Abelian gauge fields, instantons and the quantam theory of loops, and quantum strings and random surfaces.
Abstract: Based on his own work, the author synthesizes the most promising approaches and ideals in field theory today. He presents such subjects as statistical mechanics, quantum field theory and their interrelation, continuous global symmetry, non-Abelian gauge fields, instantons and the quantam theory of loops, and quantum strings and random surfaces. This book is aimed at postgraduate students studying field theory and statistical mechanics, and for research workers in continuous global theory.
1,909 citations