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2022

Semidefinite Programs at Finite Fermion Density

Lawrence, Scott

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Semidefinite programs can be constructed to provide a non-perturbative view of the zero-temperature behavior of quantum systems.

This paper examines the properties of these semidefinite programs when applied to lattice-regulated field theories exhibiting fermion sign problems.
Specifically on the finite-density Thirring model, there is no indication that the accuracy of semidefinite programs suffers from any difficulty analogous to the sign problem.

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G. F. Chew, The S-matrix theory of strong interactions (1961)
1961
Earlier work this paper cites.
F. Alizadeh, SIAM journal on Optimization 5
1995
Earlier work this paper cites.
Z. Fodor and S. D. Katz, Phys. Lett. B534
2002
Earlier work this paper cites.
C. R. Allton, S. Ejiri, S. J. Hands, O. Kaczmarek, F. Karsch, E. Laermann, C. Schmidt, and L. Scorzato, Phys. Rev. D66
2002
Earlier work this paper cites.
T. D. Cohen, Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
S. Burer and R. D. Monteiro, Mathematical Programming 95
2003
Earlier work this paper cites.
X. Han, S. A. Hartnoll, and J. Kruthoff, Phys. Rev. Lett. 125
Original
2004
Earlier work this paper cites.
M. Troyer and U.-J. Wiese, Physical review letters 94
2005
Earlier work this paper cites.
A. Alexandru, M. Faber, I. Horvath, and K.-F. Liu, Phys. Rev. D72
2005
Earlier work this paper cites.

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