Abstract
Gauge theories, through the local symmetry which is in their core, exhibit many local constraints, that must be taken care of and addressed in any calculation. In the Hamiltonian picture this is phrased through the Gauss laws, which are local constraints that restrict the physical Hilbert space and relate the matter and gauge degrees of freedom. In this work, we present a way that uses all the Gauss laws in lattice gauge theories with staggered fermions for completely removing the matter degrees of freedom, at the cost of locally extending the interaction range, breaking the symmetry and introducing new local constraints, due to the finiteness of the original local matter spaces.
Original language | American English |
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Article number | 114511 |
Journal | Physical Review D |
Volume | 99 |
Issue number | 11 |
DOIs | |
State | Published - 28 Jun 2019 |
Bibliographical note
Funding Information:E. Z. would like to thank David B. Kaplan, Martin J. Savage and John Preskill for insightful discussions. J. I. C. is partially supported by the European Union (EU), European Research Council (ERC) Grant No. QUENOCOBA 742102.
Publisher Copyright:
© 2019 American Physical Society.