High temperature expansion in supersymmetric matrix quantum mechanics - High Energy Physics - TheoryReport as inadecuate




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Abstract: We formulate the high temperature expansion in supersymmetric matrix quantummechanics with 4, 8 and 16 supercharges. The models can be obtained bydimensionally reducing N=1 UN super Yang-Mills theory in D=4,6,10 to 1dimension, respectively. While the non-zero frequency modes become weaklycoupled at high temperature, the zero modes remain strongly coupled. We find,however, that the integration over the zero modes that remains afterintegrating out all the non-zero modes perturbatively, reduces to theevaluation of connected Green-s functions in the bosonic IKKT model. We performMonte Carlo simulation to compute these Green-s functions, which are then usedto obtain the coefficients of the high temperature expansion for variousquantities up to the next-leading order. Our results nicely reproduce theasymptotic behaviors of the recent simulation results at finite temperature. Inparticular, the fermionic matrices, which decouple at the leading order, giverise to substantial effects at the next-leading order, reflecting finitetemperature behaviors qualitatively different from the corresponding modelswithout fermions.



Author: Naoyuki Kawahara KEK, Jun Nishimura KEK, SOKENDAI, Shingo Takeuchi SOKENDAI

Source: https://arxiv.org/







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