Results 1 to 10 of about 807,423 (184)
Direct improvement of Hamiltonian lattice gauge theory [PDF]
Phys.Rev. D64 (2001) 094503, 2001 We demonstrate that a direct approach to improving Hamiltonian lattice gauge theory is possible. Our approach is to correct errors in the Kogut-Susskind Hamiltonian by incorporating additional gauge invariant terms. The coefficients of these terms are chosen so that the order $a^2$ classical errors vanish. We conclude with a brief discussion of tadpole
Jesse Carlsson, Bruce H. J. McKellar
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Journal of High Energy Physics, 2023 We study the Hamiltonian lattice Yang-Mills theory based on spin networks that provide a useful basis to represent the physical states satisfying the Gauss law constraints. We focus on SU(2) Yang-Mills theory in (2 + 1) dimensions.
Tomoya Hayata, Yoshimasa Hidaka
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Hamiltonians and gauge-invariant Hilbert space for lattice Yang-Mills-like theories with finite gauge group [PDF]
, 2023 Motivated by quantum simulation, we consider lattice Hamiltonians for Yang-Mills gauge theories with finite gauge group, for example a finite subgroup of a compact Lie group. We show that the electric Hamiltonian admits an interpretation as a certain natural, non-unique Laplacian operator on the finite Abelian or non-Abelian group, and derive some ...
A. Mariani, S. Pradhan, Elisa Ercolessi
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Improved Hamiltonian lattice gauge theory [PDF]
Nucl.Phys.Proc.Suppl. 106 (2002) 853-855, 2002 We derive an improved lattice Hamiltonian for pure gauge theory, coupling arbitrarily distant links in the kinetic term. The level of improvement achieved is examined in variational calculations of the SU(2) specific heat in 2+1 dimensions.
Jesse Carlsson +3 more
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Measurement-based quantum simulation of Abelian lattice gauge theories [PDF]
SciPost Physics, 2023 Numerical simulation of lattice gauge theories is an indispensable tool in high energy physics, and their quantum simulation is expected to become a major application of quantum computers in the future.
Hiroki Sukeno, Takuya Okuda
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Simple Hamiltonian for Quantum Simulation of Strongly Coupled 2+1D SU(2) Lattice Gauge Theory on a Honeycomb Lattice [PDF]
Phys.Rev.D 108, 094505 (2023), 2023 We find a simple spin Hamiltonian to describe physical states of $2+1$ dimensional SU(2) lattice gauge theory on a honeycomb lattice with a truncation of the electric field representation at $j_{\rm max}=\frac{1}{2}$. The simple spin Hamiltonian only contains local products of Pauli matrices, even though Gauss's law has been completely integrated out.
Berndt Müller, Xiaojun Yao
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A new fermion Hamiltonian for lattice gauge theory [PDF]
Nucl.Phys.Proc.Suppl. 106 (2002) 760-762, 2001 We formulate Hamiltonian vector-like lattice gauge theory using the overlap formula for the spatial fermionic part, $H_f$. We define a chiral charge, $Q_5$ which commutes with $H_f$, but not with the electric field term. There is an interesting relation between the chiral charge and the fermion energy with consequences for chiral anomalies.
Michael Creutz +2 more
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Gauge invariance in a Z_2 hamiltonian lattice gauge theory [PDF]
PoS LAT2005 (2005) 181, 2005 We propose an efficient variational method for $Z_2$ lattice gauge theory based on the matrix product ansatz. The method is applied to ladder and square lattices. The Gauss law needs to be imposed on quantum states to guarantee gauge invariance when one studies gauge theory in hamiltonian formalism.
Taka Sugihara
arxiv +4 more sources
Hamiltonian lattice gauge theory: wavefunctions on large lattices [PDF]
Nucl. Phys. Proc. Suppl. 30 (1993) 916, 1993 We discuss an algorithm for the approximate solution of Schrodinger's equation for lattice gauge theory, using lattice SU(3) as an example. A basis is generated by repeatedly applying an effective Hamiltonian to a ``starting state.'' The resulting basis has a cluster decomposition and long-range correlations.
J. B. Bronzan
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MONTE CARLO HAMILTONIAN OF LATTICE GAUGE THEORY [PDF]
Mod.Phys.Lett.A22:565-572,2007, 2007 We discuss how the concept of the Monte Carlo Hamiltonian can be applied to lattice gauge theories.
Frédérik Paradis +3 more
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