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

Publication ,  Journal Article
Chandrasekharan, S; Huffman, E
Published in: Physical Review D: Particles, Fields, Gravitation and Cosmology
April 2, 2020

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. As a test of our method we construct the partition function of a simple lattice Hamiltonian in 2+1 dimensions in discrete time, with a temporal lattice spacing ε. When ε→0 we obtain the partition function of the original lattice Hamiltonian. But when ε=1 we obtain a new type of space-time lattice field theory which treats space and time differently. Here we show that both continuous-time and discrete-time lattice models have a fermionic quantum critical point with critical exponents that match within errors. The fermion bag algorithms run relatively faster on the discrete-time model and allow us to compute quantities even on 1003 lattices near the quantum critical point.

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Published In

Physical Review D: Particles, Fields, Gravitation and Cosmology

DOI

ISSN

1550-2368

Publication Date

April 2, 2020

Volume

07

Publisher

American Physical Society

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 5101 Astronomical sciences
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0201 Astronomical and Space Sciences
 

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Chandrasekharan, S., & Huffman, E. (2020). Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality. Physical Review D: Particles, Fields, Gravitation and Cosmology, 07. https://doi.org/10.1103/PhysRevD.101.074501
Chandrasekharan, Shailesh, and Emilie Huffman. “Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality.” Physical Review D: Particles, Fields, Gravitation and Cosmology 07 (April 2, 2020). https://doi.org/10.1103/PhysRevD.101.074501.
Chandrasekharan S, Huffman E. Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality. Physical Review D: Particles, Fields, Gravitation and Cosmology. 2020 Apr 2;07.
Chandrasekharan, Shailesh, and Emilie Huffman. “Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality.” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 07, American Physical Society, Apr. 2020. Manual, doi:10.1103/PhysRevD.101.074501.
Chandrasekharan S, Huffman E. Fermion-bag inspired Hamiltonian lattice field theory for fermionic quantum criticality. Physical Review D: Particles, Fields, Gravitation and Cosmology. American Physical Society; 2020 Apr 2;07.

Published In

Physical Review D: Particles, Fields, Gravitation and Cosmology

DOI

ISSN

1550-2368

Publication Date

April 2, 2020

Volume

07

Publisher

American Physical Society

Related Subject Headings

  • Nuclear & Particles Physics
  • 5107 Particle and high energy physics
  • 5101 Astronomical sciences
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0201 Astronomical and Space Sciences