Titlebook: Recent Developments in Gauge Theories; G.’t Hooft,C. Itzykson,R. Stora Book 1980 Plenum Press, New York 1980 Confinement.Lattice gauge the

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Geometry of the Space of Gauge Orbits and the Yang-Mills Dynamical System,heory. This is because in the functional integral approach to the quantum theory one integrates over classical field configurations. Ultraviolet regularization is not mentioned because we deal mostly with the classical theory, but it should be kept in mind. The other major hypothesis is with respect

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,The Coupling Constant in a φ4 Field Theory,the scaling limit is approached or as ultraviolet cutoffs are removed. (2) Zero coupling corresponds to a free field or a generalized free field. (3) Different types of amputation in the definition of the coupling constant differ only by a finite nonzero factor.

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Gauge Concepts in Condensed Matter Physics,l topic for an assessment. Only later, did I fully realise the difficulty of finding a proper level. I feel therefore that it is necessary to issue here a warning to the reader and an apology. No problem is solved here, no statement receives a proof: c’est une battue à travers la campagne.

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978-1-4684-7573-9Plenum Press, New York 1980

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Recent Developments in Gauge Theories978-1-4684-7571-5Series ISSN 0258-1221

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Morse Theoretic Aspects of Yang-Mills Theory,Let me start in the manner I have learned of late from all you Physicists, with a modest list of topics to be covered in these two lectures. My topics are:

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