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1
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84927221376
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For a review, see J. C. Taylor, Gauge Theories of Weak Interactions (Cambridge University, London, 1976); B. W. Lee, in Methods in Field-Theory, edited by R. Balian and J. Zinn-Justin (North-Holland, Amsterdam, 1976).
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2
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0010129980
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Beyond perturbation theory, gauge fixing becomes highly nontrivial [see, ]. In this paper we shall ignore such difficulties arising at the nonperturbative level.
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(1978)
Nucl. Phys.
, vol.139 B
, pp. 1
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Gribov, V.N.1
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5
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17144397890
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Analogous phenomenon occurs also when one adopts the background gauge-fixing term or adopts the axial gauge. For renormalization of YM theory with the background gauge-fixing term, see, for instance
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(1981)
Nucl. Phys.
, vol.185 B
, pp. 189
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Abbott, L.F.1
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7
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84927221375
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Here, magnetic monopoles should be included as topological singularities (see Ref. 4). But such magnetic monopoles may be ignored in discussions concerning only short-distance properties of the theory.
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17
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84927221374
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In this work, the BRS invariance of the action has not been used explicitly for the analysis.
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19
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84927221373
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Our metric convention is that with signature (---+).
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23
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84927221372
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To one-loop order, the well-known Yang-Mills beta function can be read off from the first expression in Eq. (5). This should be so due to the Abelian subgroup gauge invariance.
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28
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84927221371
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Vanishing vacuum angle is assumed in this paper.
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29
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84927221370
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Here, g and alpha correspond to tree-level or renormalized values.
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30
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84927221369
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This may be ascribed to the fact that, in the ghost and antighost sector, the Abelian gauge transformation (17) has significantly different structure from the Abelian subgroup portion of the BRS transformation (14). (Note that χ δ ω app θ .)
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31
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84927221360
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Note that, according to our definition, there are also l-loop contributions to F hat(l-1) resulting from the action Sstar (l-1) itself. They are of course included in F hat(l-1)l, and this should explain why we have written (Sstar (l) -Sstar (l-1) ) | l~loop (rather than Sstar (l) | l~loop ) in the left-hand side of Eq. (29).
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32
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84927221358
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Of course, with gauge fields scaled differently depending on respective Abelian charges.
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36
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84927221356
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see also reviews cited in Ref. 1.
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37
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84927221355
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Suitable regularization of various quantities is implicitly assumed in Eq. (39).
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38
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84927221354
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We are here ignoring well-known infrared difficulties on the (perturbative) physical mass shell.
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39
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84927221353
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C. Lee, Ref. 17;
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