Solving Sign Problems with Meron Algorithms

2001 ◽  
pp. 28-42 ◽  
Author(s):  
S. Chandrasekharan ◽  
J. Osborn
Keyword(s):  
Sign Problems

scholarly journals Phase unwrapping and one-dimensional sign problems

2018 ◽  
Vol 98 (7) ◽  
Author(s):  
William Detmold ◽  
Gurtej Kanwar ◽  
Michael L. Wagman
Keyword(s):  
Phase Unwrapping ◽  
One Dimensional ◽  
Sign Problems

scholarly journals Meron-cluster solution of fermion and other sign problems

2000 ◽  
Vol 83-84 ◽  
pp. 777-791 ◽  
Author(s):  
J. Cox ◽  
C. Gattringer ◽  
K. Holland ◽  
B. Scarlet ◽  
U.-J. Wiese
Keyword(s):  
Cluster Solution ◽  
Sign Problems

Solution by rhesus monkeys of multiple sign problems utilizing the oddity technique.

1943 ◽  
Vol 35 (2) ◽  
pp. 119-132 ◽  
Author(s):  
T. Spaet ◽  
H. F. Harlow
Keyword(s):  
Rhesus Monkeys ◽  
Sign Problems

scholarly journals Fermion bag solutions to some sign problems in four-fermion field theories

2012 ◽  
Vol 85 (9) ◽  
Author(s):  
Shailesh Chandrasekharan ◽  
Anyi Li
Keyword(s):  
Field Theories ◽  
Fermion Field ◽  
Sign Problems

scholarly journals Meron-Cluster Solution of Fermion Sign Problems

1999 ◽  
Vol 83 (16) ◽  
pp. 3116-3119 ◽  
Author(s):  
Shailesh Chandrasekharan ◽  
Uwe-Jens Wiese
Keyword(s):  
Cluster Solution ◽  
Sign Problems

scholarly journals Accurate simulation of the finite density lattice Thirring model

2018 ◽  
Vol 175 ◽  
pp. 07011
Author(s):  
Jarno Rantaharju
Keyword(s):  
Boundary Conditions ◽  
World Line ◽  
Thirring Model ◽  
Open Boundary ◽  
Test Case ◽  
Open Boundary Conditions ◽  
Massless Limit ◽  
Finite Density ◽  
Sign Problem ◽  
Sign Problems

We present a study of the finite density lattice Thirring model in 1+1 dimensions using the world-line/fermion-bag algorithm. The model has features similar to QCD and provides a test case for exploring the accuracy of various methods of solving sign problems. In the massless limit and with open boundary conditions we show that the sign problem is an artifact of the auxiliary field approach and is completely eliminated in the fermion bag approach. With periodic boundary conditions the sign problem is mild in the fermion bag method. We present accurate results for various quantities in the model that can be used as a benchmark for comparison with other methods of solving sign problems.

scholarly journals Lattice $$ \mathcal{N} $$ = 4 super Yang-Mills at strong coupling

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Simon Catterall ◽  
Joel Giedt ◽  
Goksu Can Toga
Keyword(s):  
Strong Coupling ◽  
Lattice Theory ◽  
Numerical Study ◽  
Lattice Action ◽  
Yang Mills ◽  
Hooft Coupling ◽  
Sign Problem ◽  
Wide Range ◽  
Phase Out ◽  
Sign Problems

Abstract In this paper we present results from numerical simulations of $$ \mathcal{N} $$ N = 4 super Yang-Mills for two color gauge theory over a wide range of ’t Hooft coupling 0 < λ ≤ 30 using a supersymmetric lattice action [1]. Numerical study of this lattice theory has been stymied until recently by both sign problems and the occurrence of lattice artifact phases at strong coupling. We have recently developed a new action that appears capable of solving both problems. The resulting action possesses just SU(2) rather than U(2) gauge symmetry. By explicit computations of the fermion Pfaffian we present evidence that the theory possesses no sign problem and exists in a single phase out to arbitrarily strong coupling. Furthermore, preliminary work shows that the logarithm of the supersymmetric Wilson loop varies as the square root of the ’t Hooft coupling λ for large λ in agreement with holographic predictions.

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