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Fermion bag approach to Hamiltonian lattice field theories in continuous time

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

We extend the idea of fermion bags to Hamiltonian lattice field theories in the continuous time formulation. Using a class of models we argue that the temperature is a parameter that splits the fermion dynamics into small spatial regions that can be used to identify fermion bags. Using this idea we construct a continuous time quantum Monte Carlo algorithm and compute critical exponents in the 3d Ising Gross-Neveu universality class using a single flavor of massless Hamiltonian staggered fermions. We find η=0.54(6) and ν=0.88(2) using lattices up to N=2304 sites. We argue that even sizes up to N=10,000 sites should be accessible with supercomputers available today.

Duke Scholars

Published In

Physical Review D - Particles, Fields, Gravitation and Cosmology

ISSN

1550-7998

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
 

Citation

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Huffman, E., & Chandrasekharan, S. (n.d.). Fermion bag approach to Hamiltonian lattice field theories in continuous time. Physical Review D - Particles, Fields, Gravitation and Cosmology.
Huffman, E., and S. Chandrasekharan. “Fermion bag approach to Hamiltonian lattice field theories in continuous time.” Physical Review D - Particles, Fields, Gravitation and Cosmology, n.d.
Huffman E, Chandrasekharan S. Fermion bag approach to Hamiltonian lattice field theories in continuous time. Physical Review D - Particles, Fields, Gravitation and Cosmology.
Huffman, E., and S. Chandrasekharan. “Fermion bag approach to Hamiltonian lattice field theories in continuous time.” Physical Review D - Particles, Fields, Gravitation and Cosmology, American Physical Society.
Huffman E, Chandrasekharan S. Fermion bag approach to Hamiltonian lattice field theories in continuous time. Physical Review D - Particles, Fields, Gravitation and Cosmology. American Physical Society;

Published In

Physical Review D - Particles, Fields, Gravitation and Cosmology

ISSN

1550-7998

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