Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality


Journal Article

© 2020 American Physical Society. Motivated by the fermion-bag approach, we construct a new class of Hamiltonian lattice field theories that can help us to study fermionic quantum critical points, particularly those with four-fermion interactions. Although these theories are constructed in discrete time with a finite temporal lattice spacing μ, when μ→0, conventional continuous-time Hamiltonian lattice field theories are recovered. The fermion-bag algorithms run relatively faster when μ=1 as compared to μ→0 but still allow us to compute universal quantities near the quantum critical point even at such a large value of μ. As an example of this new approach, here we study the Nf=1 Gross-Neveu chiral-Ising universality class in 2+1 dimensions by calculating the critical scaling of the staggered mass order parameter. We show that we are able to study lattice sizes up to 1002 sites when μ=1, while with comparable resources we can reach lattice sizes of only up to 642 when μ→0. The critical exponents obtained in both these studies match within errors.

Full Text

Duke Authors

Cited Authors

  • Huffman, E; Chandrasekharan, S

Published Date

  • April 1, 2020

Published In

Volume / Issue

  • 101 / 7

Electronic International Standard Serial Number (EISSN)

  • 2470-0029

International Standard Serial Number (ISSN)

  • 2470-0010

Digital Object Identifier (DOI)

  • 10.1103/PhysRevD.101.074501

Citation Source

  • Scopus