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Education. Weinstein received his PhD in mathematical physics from Harvard University in 1992 under the supervision of Raoul Bott. In his dissertation, Extension of Self-Dual Yang-Mills Equations Across the Eighth Dimension, Weinstein showed that the self-dual Yang–Mills equations were not really peculiar to dimension four and admitted generalizations to higher dimensions.
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BRST symmetry and the Noether theorem. In the case of YangMills fields this method leads to the same expression for the BRST charge as the BFV prescription (1.1). For example, let us consider the FaddeevPopov action for the YangMills fields in the Lorentz gauge SYM = ∫ d4x [− 1 4 Fa µνF µν a −iθ¯a∂µDµθa +πa
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Get PriceJun 30, 2021 · Abstract We obtain new relations between Einstein-Yang-Mills (EYM) amplitudes involving N gauge bosons plus a single graviton and pure Yang-Mills amplitudes involving N gauge bosons plus one additional vector boson inserted in a way typical for a gauge boson of a "spectator" group commuting with the group associated to original N gauge bosons. We show that such EYM
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Get PriceThe Feynman rules for the Yang-Mills field, originally derived by Feynman and DeWitt from S-matrix theory and the tree theorem, are here derived as a consequence of field theory. Our starting point is the gauge-independent, path-dependent formalism which we proposed earlier. The path-dependent Green's functions in this theory are expressed in terms of auxiliary, path-independent Green's
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