A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory
arXiv:hep-th/0209162 · doi:10.1103/PhysRevD.67.085003
Abstract
We uncover a method of calculation that proceeds at every step without fixing the gauge or specifying details of the regularisation scheme. Results are obtained by iterated use of integration by parts and gauge invariance identities. The initial stages can even be computed diagrammatically. The method is formulated within the framework of an exact renormalization group for SU(N) Yang-Mills gauge theory, incorporating an effective cutoff through a manifest spontaneously broken SU(N|N) gauge invariance. We demonstrate the technique with a compact calculation of the one-loop beta function, achieving a manifestly universal result, and without gauge fixing, for the first time at finite N.
54 pages, 24 figures, uses JHEP3.cls
References in corpus (5)
Cited by in corpus (36)
- The nonperturbative functional renormalization group and its applications
- Renormalization flow of Yang-Mills propagators
- Renormalizability of gauge theories in extra dimensions
- A Generalised Manifestly Gauge Invariant Exact Renormalisation Group for SU(N) Yang-Mills
- A Manifestly Gauge Invariant, Continuum Calculation of the SU(N) Yang-Mills two-loop beta function
- Equivalence of Local Potential Approximations
- Manifestly Gauge Invariant QCD
- Exact scheme independence at two loops
- Manifestly diffeomorphism invariant classical Exact Renormalization Group
- Some non-renormalization theorems in Curci-Ferrari model
- Manifestly gauge invariant QED
- Renormalization Group Flow as Optimal Transport
- BRST in the Exact RG
- Triviality from the Exact Renormalization Group
- A Manifestly Gauge Invariant and Universal Calculus for SU(N) Yang-Mills
- Scheme Independence to all Loops
- Background independent exact renormalisation
- Gauge Invariant Regularization in the AdS/CFT Correspondence and Ghost D-branes
- General Computations Without Fixing the Gauge
- BRST invariant RG flows
- A Primer for Manifestly Gauge Invariant Computations in SU(N) Yang-Mills
- Universality From Very General Nonperturbative Flow Equations in QCD
- Wilsonian Renormalization of Noncommutative Scalar Field Theory
- Fixed point merger in the SU(N) gauge beta functions
- A Resummable beta-Function for Massless QED
- Equivalent Fixed-Points in the Effective Average Action Formalism
- N=1* model and glueball superpotential from Renormalization-Group-improved perturbation theory
- Conformal anomaly from gauge fields without gauge fixing
- Anti-Screening by Quarks and the Structure of the Inter-Quark Potential
- Properties of a proposed background independent exact renormalization group
- Functional renormalization group approach to color superconducting phase transition
- Background Effective Action with Nonlinear Massive Gauge Fixing
- Flows of multicomponent scalar models with U(1) gauge symmetry
- An Extension of Pohlmeyer's Theorem
- Universal scaling dimensions for highly irrelevant operators in the Local Potential Approximation
- Sensitivity of Nonrenormalizable Trajectories to the Bare Scale