Supersymmetric quantum mechanics on the lattice: I. Loop formulation

Autor:	Baumgartner, David, Wenger, Urs
Rok vydání:	2014
Předmět:	High Energy Physics - Lattice Condensed Matter - Statistical Mechanics High Energy Physics - Theory
Druh dokumentu:	Working Paper
DOI:	10.1016/j.nuclphysb.2015.03.001
Popis:	Simulations of supersymmetric field theories on the lattice with (spontaneously) broken supersymmetry suffer from a fermion sign problem related to the vanishing of the Witten index. We propose a novel approach which solves this problem in low dimensions by formulating the path integral on the lattice in terms of fermion loops. For N = 2 supersymmetric quantum mechanics the loop formulation becomes particularly simple and in this paper - the first in a series of three - we discuss in detail the reformulation of this model in terms of fermionic and bosonic bonds for various lattice discretisations including one which is Q-exact. Comment: 33 pages, 8 figures, 3 tables; typos in text, eq.(107) and table 3 corrected
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1412.5393 Zobrazit plný text záznamu View this record from Arxiv