A Generalised, Manifestly Gauge Invariant Exact Renormalisation Group for SU(N) Yang-Mills
نویسندگان
چکیده
We take the manifestly gauge invariant exact renormalisation group previously used to compute the one-loop β function in SU(N) Yang-Mills without gauge fixing, and generalise it so that it can be renormalised straightforwardly at any loop order. The diagrammatic computational method is developed to cope with general group theory structures, and new methods are introduced to increase its power, so that much more can be done simply by manipulating diagrams. The new methods allow the standard two-loop β function coefficient for SU(N) Yang-Mills to be computed, for the first time without fixing the gauge or specifying the details of the regularisation scheme. SHEP 05-21
منابع مشابه
M ar 2 00 6 A Manifestly Gauge Invariant , Continuum Calculation of the SU ( N ) Yang - Mills two - loop β function
The manifestly gauge invariant exact renormalisation group provides a framework for performing continuum computations in SU (N) Yang-Mills theory, without fixing the gauge. We use this formalism to compute the two-loop β function in a manifestly gauge invariant way, and without specifying the details of the regularisation scheme.
متن کاملManifestly Gauge Invariant Exact Renormalization Group
A manifestly gauge invariant exact renormalization group for pure SU(N) Yang-Mills theory is proposed, allowing gauge invariant calculations, without any gauge fixing or ghosts. The necessary gauge invariant regularisation which implements the effective cutoff, is naturally incorporated by embedding the theory into a spontaneously broken SU(N |N) super-gauge theory. This guarantees finiteness t...
متن کاملA Manifestly Gauge Invariant and Universal Calculus for SU(N) Yang-Mills
Abstract. Within the framework of the Exact Renormalization Group, a manifestly gauge invariant calculus is constructed for SU(N) Yang-Mills. The methodology is comprehensively illustrated with a proof, to all orders in perturbation theory, that the β function has no explicit dependence on either the seed action or details of the covariantization of the cutoff. The cancellation of these non-uni...
متن کاملManifestly Gauge Invariant QCD
Building on recent work in SU(N) Yang-Mills theory, we construct a manifestly gauge invariant exact renormalization group for QCD. A gauge invariant cutoff is constructed by embedding the physical gauge theory in a spontaneously broken SU(N |N) gauge theory, regularized by covariant higher derivatives. Intriguingly, the construction is most efficient if the number of flavours is a multiple of t...
متن کاملTowards a Manifestly Gauge Invariant and Universal Calculus for Yang-mills Theory
A manifestly gauge invariant exact renormalization group for pure SU(N) Yang-Mills theory is proposed, along with the necessary gauge invariant regularisation which implements the effective cutoff. The latter is naturally incorporated by embedding the theory into a spontaneously broken SU(N |N) super-gauge theory, which guarantees finiteness to all orders in perturbation theory. The effective a...
متن کامل