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Boundary Anomalies and Correlation Functions

Kuo-Wei Huang
(
- Stony Brook U. and
- YITP, Stony Brook
)

Apr 7, 2016

25 pages

Published in:

JHEP 08 (2016) 013

Published: Aug 2, 2016

e-Print:

1604.02138 [hep-th]

DOI:

10.1007/JHEP08(2016)013

Report number:

YITP-SB-16-08

View in:

reference search14 citations

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Abstract: (arXiv)

It was shown recently that boundary terms of conformal anomalies recover the universal contribution to the entanglement entropy and also play an important role in the boundary monotonicity theorem of odd-dimensional quantum field theories. Motivated by these results, we investigate relationships between boundary anomalies and the stress tensor correlation functions in conformal field theories. In particular, we focus on how the conformal Ward identity and the renormalization group equation are modified by boundary central charges. Renormalized stress tensors induced by boundary Weyl invariants are also discussed, with examples in spherical and cylindrical geometries.

Note:

25 pages

Anomalies in Field and String Theories
Conformal and W Symmetry
Renormalization Group
tensor: energy-momentum
anomaly: conformal
Ward identity: conformal
field theory: conformal
entropy: entanglement
correlation function
renormalization group

References(36)

Figures(0)

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