Renormalisation of the energy-momentum tensor in scalar field theory using the Wilson flow

Francesco Capponi; Antonio Rago; Luigi Del Debbio; Susanne Ehret; Roberto Pellegrini

Renormalisation of the energy-momentum tensor in scalar field theory using the Wilson flow

Francesco Capponi
, Antonio Rago
, Luigi Del Debbio
, Susanne Ehret
, Roberto Pellegrini

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

A non-perturbative renormalisation prescription for the energy-momentum tensor, based on space-Time symmetries along the Wilson flow, has been proposed recently in the context of 4- dimensional gauge theories. We extend this construction to the case of a scalar field theory, and investigate its numerical feasibility by studying Ward identities in 3-dimensional scalar field theory. After introducing the Wilson flow for the scalar field theory we discuss its renormalisation properties and the determination of the renormalisation constants for the energy-momentum tensor.

Original language	English
Article number	306
Journal	Proceedings of Science
Volume	14-18-July-2015
Publication status	Published - 9 Dec 2015

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https://arxiv.org/pdf/1512.02851.pdf

Cite this

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title = "Renormalisation of the energy-momentum tensor in scalar field theory using the Wilson flow",

abstract = "A non-perturbative renormalisation prescription for the energy-momentum tensor, based on space-Time symmetries along the Wilson flow, has been proposed recently in the context of 4- dimensional gauge theories. We extend this construction to the case of a scalar field theory, and investigate its numerical feasibility by studying Ward identities in 3-dimensional scalar field theory. After introducing the Wilson flow for the scalar field theory we discuss its renormalisation properties and the determination of the renormalisation constants for the energy-momentum tensor.",

author = "Francesco Capponi and Antonio Rago and \{Del Debbio\}, Luigi and Susanne Ehret and Roberto Pellegrini",

year = "2015",

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AU - Capponi, Francesco

AU - Rago, Antonio

AU - Del Debbio, Luigi

AU - Ehret, Susanne

AU - Pellegrini, Roberto

PY - 2015/12/9

Y1 - 2015/12/9

N2 - A non-perturbative renormalisation prescription for the energy-momentum tensor, based on space-Time symmetries along the Wilson flow, has been proposed recently in the context of 4- dimensional gauge theories. We extend this construction to the case of a scalar field theory, and investigate its numerical feasibility by studying Ward identities in 3-dimensional scalar field theory. After introducing the Wilson flow for the scalar field theory we discuss its renormalisation properties and the determination of the renormalisation constants for the energy-momentum tensor.

AB - A non-perturbative renormalisation prescription for the energy-momentum tensor, based on space-Time symmetries along the Wilson flow, has been proposed recently in the context of 4- dimensional gauge theories. We extend this construction to the case of a scalar field theory, and investigate its numerical feasibility by studying Ward identities in 3-dimensional scalar field theory. After introducing the Wilson flow for the scalar field theory we discuss its renormalisation properties and the determination of the renormalisation constants for the energy-momentum tensor.

UR - https://www.scopus.com/pages/publications/84988654492

M3 - Article

AN - SCOPUS:84988654492

SN - 1824-8039

VL - 14-18-July-2015

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 306

ER -

Renormalisation of the energy-momentum tensor in scalar field theory using the Wilson flow

Abstract

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