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arXiv · 2411.10880

Collective field theory of gauged multi-matrix models: Integrating out off-diagonal strings

Suddhasattwa Brahma·Robert Brandenberger·Keshav Dasgupta·Yue Lei·Julia Pasiecznik
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Abstract

We study a two-matrix toy model with a BFSS-like interaction term using the collective field formalism. The main technical simplification is obtained by gauge-fixing first, and integrating out the off-diagonal elements, before changing to the collective field variable. We show that the resulting $(2+1)$-dimensional collective field action has novel features with respect to non-locality, and that we need to add a mass term to get a time-local potential. As is expected, one recovers the single matrix quantum mechanical collective field Hamiltonian in the proper limit.

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Suddhasattwa Brahma, Robert Brandenberger, Keshav Dasgupta, Yue Lei, Julia Pasiecznik. 2024-11-16. Collective field theory of gauged multi-matrix models: Integrating out off-diagonal strings. https://doi.org/10.1007/jhep06(2025)159

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