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Emergence of Gauss' law in a Z2 lattice gauge theory in 1 + 1 dimensions

Publication ,  Journal Article
Frank, J; Huffman, E; Chandrasekharan, S
Published in: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
July 10, 2020

We explore a Z2 Hamiltonian lattice gauge theory in one spatial dimension with a coupling h, without imposing any Gauss' law constraint. We show that in our model h=0 is a free deconfined quantum critical point containing massless fermions where all Gauss' law sectors are equivalent. The coupling h is a relevant perturbation of this critical point and fermions become massive due to confinement and chiral symmetry breaking. To study the emergent Gauss' law sectors at low temperatures in this massive phase we use a quantum Monte Carlo method that samples configurations of the partition function written in a basis in which local conserved charges are diagonal. We find that two Gauss' law sectors, related by particle-hole symmetry, emerge naturally. When the system is doped with an extra particle, many more Gauss's law sectors related by translation invariance emerge. Using results in the range 0.01

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Published In

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

DOI

ISSN

0370-2693

Publication Date

July 10, 2020

Volume

806

Related Subject Headings

  • Nuclear & Particles Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0201 Astronomical and Space Sciences
  • 0105 Mathematical Physics
 

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Frank, J., Huffman, E., & Chandrasekharan, S. (2020). Emergence of Gauss' law in a Z2 lattice gauge theory in 1 + 1 dimensions. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 806. https://doi.org/10.1016/j.physletb.2020.135484
Frank, J., E. Huffman, and S. Chandrasekharan. “Emergence of Gauss' law in a Z2 lattice gauge theory in 1 + 1 dimensions.” Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 806 (July 10, 2020). https://doi.org/10.1016/j.physletb.2020.135484.
Frank J, Huffman E, Chandrasekharan S. Emergence of Gauss' law in a Z2 lattice gauge theory in 1 + 1 dimensions. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2020 Jul 10;806.
Frank, J., et al. “Emergence of Gauss' law in a Z2 lattice gauge theory in 1 + 1 dimensions.” Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 806, July 2020. Scopus, doi:10.1016/j.physletb.2020.135484.
Frank J, Huffman E, Chandrasekharan S. Emergence of Gauss' law in a Z2 lattice gauge theory in 1 + 1 dimensions. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2020 Jul 10;806.
Journal cover image

Published In

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

DOI

ISSN

0370-2693

Publication Date

July 10, 2020

Volume

806

Related Subject Headings

  • Nuclear & Particles Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
  • 0201 Astronomical and Space Sciences
  • 0105 Mathematical Physics