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SUMMARY:Trace Anomaly in Metric-Affine Gravity
DTSTART:20241107T070000Z
DTEND:20241107T090000Z
DTSTAMP:20260513T140800Z
UID:indico-event-776@indico.ibs.re.kr
DESCRIPTION:Speakers: Yuichi Miyashita\n\nThe trace anomaly is an importan
 t result of quantum field theory in curved spacetime. We usually use the h
 eat kernel method to evaluate a one-loop effective action and the trace an
 omaly. In this talk\, we explore the trace anomaly in a general metric-aff
 ine gravity geometry that includes torsion and nonmetricity. The core of t
 he heat kernel method is the coefficients in the asymptotic expansion of t
 he trace of the heat operator. We introduce Seeley's algorithm which provi
 des the systematic approach to computing these coefficients for any spacet
 ime\, including nonmetricity and torsion. We then find the corrections to 
 the trace anomaly at the one-loop level in the scaling-invariant scalar fi
 eld theories under conformal\, rescaling\, and projective transformations.
  We demonstrate that invariance under the frame rescaling transformation r
 esults in an anomaly in the relationship between the hypermomentum and the
  stress-energy tensor. In contrast\, we show that there is no anomaly unde
 r the projective transformation.This talk is mainly based on the paper arX
 iv:2409.05499 [gr-qc].\n\nhttps://indico.ibs.re.kr/event/776/
LOCATION:447-1
URL:https://indico.ibs.re.kr/event/776/
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