# Logarithmic coefficient of the entanglement entropy of a Maxwell field

@article{Casini2020LogarithmicCO, title={Logarithmic coefficient of the entanglement entropy of a Maxwell field}, author={Horacio Casini and Marina Huerta and Javier M. Mag{\'a}n and Diego Pontello}, journal={Physical Review D}, year={2020} }

We elucidate the mismatch between the $A$-anomaly coefficient and the coefficient of the logarithmic term in the entanglement entropy of a Maxwell field. In contrast to the usual assumptions about the protection of renormalization group charges at the infrared, the logarithmic term is different for a free Maxwell field and a Maxwell field interacting with heavy charges. This is possible because of the presence of superselection sectors in the IR theory. However, the correction due to the…

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## References

SHOWING 1-10 OF 59 REFERENCES

### Geometric entropy and edge modes of the electromagnetic field

- Physics
- 2016

We calculate the vacuum entanglement entropy of Maxwell theory in a class of curved spacetimes by Kaluza-Klein reduction of the theory onto a two-dimensional base manifold. Using two-dimensional…

### On the entanglement entropy of Maxwell theory: a condensed matter perspective

- PhysicsJournal of High Energy Physics
- 2018

A bstractDespite the seeming simplicity of the theory, calculating (and even defining) entanglement entropy for the Maxwell theory of a U(1) gauge field in (3+1) dimensions has been the subject of…

### Entanglement and thermal entropy of gauge fields

- Physics
- 2013

A bstractWe consider the universal logarithmic divergent term in the entanglement entropy of gauge fields in the Minkowski vacuum with an entangling sphere. Employing the mapping in arXiv:1102.0440,…

### Remarks on effective action and entanglement entropy of Maxwell field in generic gauge

- Physics
- 2012

A bstractWe analyze the dependence of the effective action and the entanglement entropy in the Maxwell theory on the gauge fixing parameter a in d dimensions. For a generic value of a the…

### Entanglement entropy for even spheres

- Physics
- 2010

The coefficient of the logarithmic term in the entropy on even spheres is re-computed by the local technique of integrating the finite temperature energy density up to the horizon on static…

### Entanglement entropy of a Maxwell field on the sphere

- Physics
- 2016

We compute the logarithmic coefficient of the entanglement entropyon a sphere for a Maxwell field in d = 4 dimensions. In spherical coordinates the problem decomposes into one dimensional ones along…

### Electromagnetic Duality and Entanglement Anomalies

- Physics
- 2017

Duality is an indispensable tool for describing the strong-coupling dynamics of gauge theories. However, its actual realization is often quite subtle: quantities such as the partition function can…

### A refinement of entanglement entropy and the number of degrees of freedom

- Physics
- 2013

A bstractWe introduce a “renormalized entanglement entropy” which is intrinsically UV finite and is most sensitive to the degrees of freedom at the scale of the size R of the entangled region. We…

### Entropy on a null surface for interacting quantum field theories and the Bousso bound

- Physics
- 2015

We study the vacuum-subtracted von Neumann entropy of a segment on a null plane. We argue that for interacting quantum field theories in more than two dimensions, this entropy has a simple expression…