D-brane probes in the matrix model
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Publication:2441699
DOI10.1016/J.NUCLPHYSB.2013.12.017zbMATH Open1284.81231arXiv1311.4520OpenAlexW2117337378MaRDI QIDQ2441699
Author name not available (Why is that?)
Publication date: 27 March 2014
Published in: (Search for Journal in Brave)
Abstract: Recently, a new approach to large N gauge theories, based on a generalization of the concept of D-brane probes to any gauge field theory, was proposed. In the present note, we compute the probe action in the one matrix model with a quartic potential. This allows to illustrate several non-trivial aspects of the construction in an exactly solvable set-up. One of our main goal is to test the bare bubble approximation. The approximate free energy found in this approximation, which can be derived from a back-of-an-envelope calculation, matches the exact result for all values of the 't Hooft coupling with a surprising accuracy. Another goal is to illustrate the remarkable properties of the equivariant partial gauge-fixing procedure, which is at the heart of the formalism. For this we use a general xi-gauge to compute the brane action. The action depends on xi in a very non-trivial way, yet we show explicitly that its critical value does not and coincide with twice the free energy, as required by general consistency. This is made possible by a phenomenon of ghost condensation and the spontaneous breaking of the equivariant BRST symmetry.
Full work available at URL: https://arxiv.org/abs/1311.4520
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