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

Renormalisation of the energy-momentum tensor in scalar field theory using the Wilson flow
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使用威尔逊流对标量场理论中的能量动量张量进行重正化

DOI:
10.22323/1.251.0306
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发表时间:
2015
期刊:
arXiv: High Energy Physics - Lattice
影响因子:
--
通讯作者:
A. Rago
A. Rago
中科院分区:
--
文献类型:
--
作者:
Francesco Capponi;L. Debbio;Susanne Ehret;R. Pellegrini;A. Rago

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最近,在四维规范理论的背景下,基于沿着Wilson流的时空对称性,提出了能量动量张量的非微扰重整化处方。我们将这种构造推广到标量场理论的情形,并通过研究三维标量场理论中的沃德恒等式来研究其数值可行性。在介绍标量场理论的Wilson流之后,我们讨论了它的重整化性质和能量动量张量重整化常数的确定。
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.