The Pole Part of the 1PI Four-Point Function in Light-Cone Gauge Yang-Mills Theory
نویسنده
چکیده
The complete UV-divergent contribution to the one-loop 1PI four-point function of Yang-Mills theory in the light-cone gauge is computed in this paper. The formidable UV-divergent contributions arising from each fourpoint Feynman diagram yield a succinct final result which contains nonlocal terms as expected. These nonlocal contributions are consistent with gauge symmetry, and correspond to a nonlocal renormalization of the wave function. Renormalization of Yang-Mills theory in the light-cone gauge is thus shown explicitly at the one-loop level. 1 E-mail: [email protected] 2 E-mail: [email protected] 3 E-mail: [email protected] Preprint submitted to Elsevier Preprint 1 February 2008
منابع مشابه
Renormalization in light–cone gauge: how to do it in a consistent way
We summarize several basic features concerning canonical equal time quantization and renormalization of Yang–Mills theories in light–cone gauge. We describe a “two component” formulation which is reminiscent of the light– cone hamiltonian perturbation rules. Finally we review the derivation of the one–loop Altarelli–Parisi densities, using the correct causal prescription on the “spurious” pole....
متن کاملImproved Renormalization Group Analysis for Yang-Mills Theory
We apply an improved renormalization group analysis for pure Yang-Mills theory in four dimensions in the Landau gauge and O(N) nonlinear sigma model in two dimensions. We find a pole in the gluon two-point function at one-loop order, which is generated nonperturbatively. In Yang-Mills theory this may correspond to the expectation value of a gauge invariant operator and emerges as MP/ΛMS ≃ 0.81,...
متن کاملTWO YANG-MILLS THEORIES IN THE LIGHT-CONE GAUGE: Complete one-loop countertenns
The Mandelstam-Leibbrandt prescriptiorl is used to study the one-loop structures of the two-component (LCM2) and four-component (LCM4) formalisms of the same Yang-Mills theory in the light-cone gauge. The complete one-loop counter lagrangians are constructed by computing the one-loop two-, threeand four-point vertices. LCM2 is renormalizable order-by-order in g with 8~oumer = (Z 1)6, Z = 1 + ll...
متن کاملLight-cone analysis of ungauged and topologically gauged BLG theories
We consider three-dimensional maximally superconformal BaggerLambert-Gustavsson (BLG) theory and its topologically gauged version (constructed recently in [1]) in the light-cone gauge. After eliminating the entire Chern-Simons gauge field, the ungauged BLG theory looks more conventional and, apart from the order of the interaction terms, resembles N = 4 super-Yang-Mills theory in four dimension...
متن کاملHeterotic M ( atrix ) Strings and Their Interactions 1 Soo - Jong Rey
Following recent proposal of Dijkgraaf, Verlinde and Verlinde, we show that the M(atrix) theory compactified on S1/Z2 provides with a non-perturbative description of second-quantized light-cone heterotic string. This so-called heterotic M(atrix) string theory is defined by twodimensional (8,0) supersymmetric chiral gauge theory with gauge group SO(2N) in the large N limit. We argue that at stro...
متن کامل