{
"id": "1811.03615",
"version": "v1",
"published": "2018-11-08T18:58:41.000Z",
"updated": "2018-11-08T18:58:41.000Z",
"title": "BRST invariant RG flows",
"authors": [
"Shimasadat Asnafi",
"Holger Gies",
"Luca Zambelli"
],
"comment": "19 pages, 4 figures",
"categories": [
"hep-th"
],
"abstract": "A mass parameter for the gauge bosons in gauge-fixed four-dimensional Yang-Mills theory can be accommodated in a local and manifestly BRST-invariant action. The construction is based on the Faddeev-Popov method involving a nonlinear gauge-fixing and a background Nakanishi-Lautrup field. When applied to momentum-dependent masslike deformations, this formalism leads to a full regularization of the theory which explicitly preserves BRST symmetry. We deduce a functional renormalization group equation for the one-particle-irreducible effective action, which has a one-loop form. The master equation is compatible with it, i.e. BRST symmetry is preserved along the flow, and it has a standard regulator-independent Zinn-Justin form. As a first application, we compute the leading-order gluon wave-function renormalization.",
"revisions": [
{
"version": "v1",
"updated": "2018-11-08T18:58:41.000Z"
}
],
"analyses": {
"keywords": [
"brst invariant rg flows",
"functional renormalization group equation",
"leading-order gluon wave-function renormalization",
"standard regulator-independent zinn-justin form",
"gauge-fixed four-dimensional yang-mills theory"
],
"note": {
"typesetting": "TeX",
"pages": 19,
"language": "en",
"license": "arXiv",
"status": "editable"
}
}
}