SMuK 2021 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 17: Entropy in Quantum Field Theory

MP 17.4: Vortrag

Donnerstag, 2. September 2021, 17:45–18:10, H6

Inverted c-functions in thermal states — •Matthias Kaminski and Casey Cartwright — Department of Physics and Astronomy, University of Alabama,514 University Boulevard, Tuscaloosa, AL 35487, USA

We first compute the effect of a chiral anomaly, charge, and a magnetic field on the entanglement entropy in N=4 Super-Yang-Mills theory at strong coupling via holography. Depending on the width of the entanglement strip the entanglement entropy probes energy scales from the ultraviolet to the infrared energy regime of this quantum field theory prepared in a given state. From the entanglement entropy, we then compute holographic c-functions and demonstrate an inverted c-theorem for them. That is, these c-functions in generic thermal states monotonically increase towards the infrared energy regime in contrast to the c-functions in vacuum states which decrease along the renormalization group flow from the ultraviolet to the infrared regime. In these thermal states, the c-functions in the infrared limit are proportional to the value of the thermal entropy.