Quantum field theories on the Lefschetz thimble

Abstract

In these proceedings, we summarize the Lefschetz thimble approach to the sign problem of Quantum Field Theories. In particular, we review its motivations, and we summarize the results of the application of two different algorithms to two test models.

contributions to 31st International Symposium on Lattice Field Theory - LATTICE 2013, July 29 - August 3, 2013, Mainz, Germany and QCD-TNT-III, 2-6 September, 2013, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*), Villazzano, Trento (Italy)

References in corpus (6)

• Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
• Lefschetz thimbles and stochastic quantisation: Complex actions in the complex plane
• Complex Langevin Equations and Schwinger-Dyson Equations
• Real-time gauge theory simulations from stochastic quantization using optimized updating
• Adaptive gauge cooling for complex Langevin dynamics
• Complex Classical Fields and Partial Wick Rotations

Cited by in corpus (4)

• Lorentzian Quantum Cosmology
• Complex Saddle Points and Disorder Lines in QCD at finite temperature and density
• New developments for dual methods in lattice field theory at non-zero density
• Tunneling in Quantum Cosmology and Holographic SYM theory