Thimble regularisation of Yang Mills theories is still to a very large extent terra incognita. We discuss a couple of topics related to this big issue. 2d YM theories are in principle good candidates as a working ground. An analytic solution is known, for which one can switch from a solution in terms of a sum over characters to a form which is a sum over critical points. We would be interested in an explicit realisation of this mechanism in the lattice regularisation, which is actually quite hard to work out. A second topic is the inclusion of a topological term in the lattice theory, which is the prototype of a genuine sign problem for pure YM fields. For both these challenging problems we do not have final answers. We present the current status of our study.

Thimble regularisation of YM fields: crunching a hard problem / Singh, S.; Di Renzo, F.; Zambello, K.. - In: POS PROCEEDINGS OF SCIENCE. - ISSN 1824-8039. - 396:(2022), pp. 233.233.1-233.233.8. ((Intervento presentato al convegno 38th International Symposium on Lattice Field Theory, LATTICE 2021 tenutosi a Massachusetts Institute of Technology (MIT), usa (virtual) nel 26-30 july, 2021 [10.22323/1.396.0233].

Thimble regularisation of YM fields: crunching a hard problem

Di Renzo, F.
;
Zambello, K.
2022-01-01

Abstract

Thimble regularisation of Yang Mills theories is still to a very large extent terra incognita. We discuss a couple of topics related to this big issue. 2d YM theories are in principle good candidates as a working ground. An analytic solution is known, for which one can switch from a solution in terms of a sum over characters to a form which is a sum over critical points. We would be interested in an explicit realisation of this mechanism in the lattice regularisation, which is actually quite hard to work out. A second topic is the inclusion of a topological term in the lattice theory, which is the prototype of a genuine sign problem for pure YM fields. For both these challenging problems we do not have final answers. We present the current status of our study.
Thimble regularisation of YM fields: crunching a hard problem / Singh, S.; Di Renzo, F.; Zambello, K.. - In: POS PROCEEDINGS OF SCIENCE. - ISSN 1824-8039. - 396:(2022), pp. 233.233.1-233.233.8. ((Intervento presentato al convegno 38th International Symposium on Lattice Field Theory, LATTICE 2021 tenutosi a Massachusetts Institute of Technology (MIT), usa (virtual) nel 26-30 july, 2021 [10.22323/1.396.0233].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2929655
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