New techniques and results for worldline simulations of lattice field theories

Abstract

We use the complex ${\varphi }^4$ field at finite density as a model system for developing further techniques based on worldline formulations of lattice field theories. More specifically we: 1) Discuss new variants of the worm algorithm for updating the ${\varphi }^4$ theory and related systems with site weights. 2) Explore the possibility of canonical simulations in the worldline formulation. 3) Study the connection of 2-particle condensation at low temperature to scattering parameters of the theory.

Contribution to Lattice 2017

References in corpus (5)

• Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
• Triviality of ${\varphi }_4^4$ theory: small volume expansion and new data
• Triviality of ${\phi }^4$ theory in a finite volume scheme adapted to the broken phase
• Abelian color cycles: a new approach to strong coupling expansion and dual representations for non-abelian lattice gauge theory
• Worldlines and worldsheets for non-abelian lattice field theories: Abelian color fluxes and Abelian color cycles

Cited by in corpus (3)

• Review on novel methods for lattice gauge theories
• Phase Unwrapping and One-Dimensional Sign Problems
• Finite density condensation and scattering data - a study in ${\varphi }^4$ lattice field theory