Hamiltonian limit of lattice QED in 2+1 dimensions - INSPIRE

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Hamiltonian limit of lattice QED in 2+1 dimensions

Lena Funcke
(
- Bonn U., HISKP and
- MIT
)
,
Christiane Franziska Groß
(
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP
)
,
Karl Jansen
(
- DESY, Zeuthen
)
,
Stefan Kühn
(
- DESY, Zeuthen and
- Cyprus Inst.
)
,
Simone Romiti
(
- Bonn U., HISKP and
- U. Bonn, Phys. Inst., BCTP
)

Dec 19, 2022

14 pages

Published in:

PoS LATTICE2022 (2023) 292

Contribution to:

- Lattice 2022
, 292

Published: Jan 4, 2023

e-Print:

2212.09627 [hep-lat]

DOI:

10.22323/1.430.0292

Report number:

MIT-CTP/5480

View in:

ADS Abstract Service

reference search6 citations

Citations per year

Abstract: (SISSA)

The Hamiltonian limit of lattice gauge theories can be found by extrapolating the results of anisotropic lattice computations, i.e., computations using lattice actions with different temporal and spatial lattice spacings (

a_t\neq a_s

), to the limit of

a_t\to 0

. In this work, we present a study of this Hamiltonian limit for a Euclidean

U(1)

gauge theory in 2+1 dimensions (QED3), regularized on a toroidal lattice. The limit is found using the renormalized anisotropy

\xi_R=a_t/a_s

, by sending

\xi_R \to 0

while keeping the spatial lattice spacing constant. We compute

\xi_R

in

3

different ways: using both the ``normal'' and the ``sideways'' static quark potential, as well as the gradient flow evolution of gauge fields. The latter approach will be particularly relevant for future investigations of combining quantum computations with classical Monte Carlo computations, which requires the matching of lattice results obtained in the Hamiltonian and Lagrangian formalisms.

dimension: 3
quark: static
computer: quantum
flow: gradient
quark: potential
lattice field theory: action
lattice: anisotropy
Hamiltonian
gauge field theory
regularization

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