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2015

Spectral zeta function and non-perturbative effects in ABJM Fermi-gas

Hatsuda, Yasuyuki

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The exact partition function in ABJM theory on three-sphere can be regarded as a canonical partition function of a non-interacting Fermi-gas with an unconventional Hamiltonian.

All the information on the partition function is encoded in the discrete spectrum of this Hamiltonian.
We explain how (quantum mechanical) non-perturbative corrections in the Fermi-gas system appear from a spectral consideration.
Basic tools in our analysis are a Mellin-Barnes type integral representation and a spectral zeta function.

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