A sum rule for boundary contributions to the trace anomaly

Christopher P. Herzog; Vladimir Schaub

doi:10.1007/JHEP01(2022)121

A sum rule for boundary contributions to the trace anomaly

Christopher P. Herzog, Vladimir Schaub^*

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

In the context of boundary conformal field theory, we derive a sum rule that relates two and three point functions of the displacement operator. For four dimensional conformal field theory with a three dimensional boundary, this sum rule in turn relates the two boundary contributions to the anomaly in the trace of the stress tensor. We check our sum rule for a variety of free theories and also for a weakly interacting theory, where a free scalar in the bulk couples marginally to a generalized free field on the boundary.

Original language	English
Article number	121
Journal	Journal of High Energy Physics
Volume	2022
Issue number	1
Early online date	21 Jan 2022
DOIs	https://doi.org/10.1007/JHEP01(2022)121
Publication status	Published - Jan 2022

Keywords

Anomalies in Field and String Theories
Boundary Quantum Field Theory
Conformal Field Theory

Access to Document

10.1007/JHEP01(2022)121

Cite this

@article{a2ce9dd962d6435094af3512ecb8b9f6,

title = "A sum rule for boundary contributions to the trace anomaly",

abstract = "In the context of boundary conformal field theory, we derive a sum rule that relates two and three point functions of the displacement operator. For four dimensional conformal field theory with a three dimensional boundary, this sum rule in turn relates the two boundary contributions to the anomaly in the trace of the stress tensor. We check our sum rule for a variety of free theories and also for a weakly interacting theory, where a free scalar in the bulk couples marginally to a generalized free field on the boundary.",

keywords = "Anomalies in Field and String Theories, Boundary Quantum Field Theory, Conformal Field Theory",

author = "Herzog, {Christopher P.} and Vladimir Schaub",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s).",

year = "2022",

month = jan,

doi = "10.1007/JHEP01(2022)121",

language = "English",

volume = "2022",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

publisher = "IOP Publishing",

number = "1",

}

TY - JOUR

T1 - A sum rule for boundary contributions to the trace anomaly

AU - Herzog, Christopher P.

AU - Schaub, Vladimir

PY - 2022/1

Y1 - 2022/1

N2 - In the context of boundary conformal field theory, we derive a sum rule that relates two and three point functions of the displacement operator. For four dimensional conformal field theory with a three dimensional boundary, this sum rule in turn relates the two boundary contributions to the anomaly in the trace of the stress tensor. We check our sum rule for a variety of free theories and also for a weakly interacting theory, where a free scalar in the bulk couples marginally to a generalized free field on the boundary.

AB - In the context of boundary conformal field theory, we derive a sum rule that relates two and three point functions of the displacement operator. For four dimensional conformal field theory with a three dimensional boundary, this sum rule in turn relates the two boundary contributions to the anomaly in the trace of the stress tensor. We check our sum rule for a variety of free theories and also for a weakly interacting theory, where a free scalar in the bulk couples marginally to a generalized free field on the boundary.

KW - Anomalies in Field and String Theories

KW - Boundary Quantum Field Theory

KW - Conformal Field Theory

UR - http://www.scopus.com/inward/record.url?scp=85123498999&partnerID=8YFLogxK

U2 - 10.1007/JHEP01(2022)121

DO - 10.1007/JHEP01(2022)121

M3 - Article

AN - SCOPUS:85123498999

SN - 1126-6708

VL - 2022

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 1

M1 - 121

ER -

A sum rule for boundary contributions to the trace anomaly

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this