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Domain wall fermions for planar physics

Simon Hands

Journal of High Energy Physics, Volume: 09, Issue: 047

Swansea University Author: Simon Hands

DOI (Published version): 10.1007/JHEP09(2015)047

Abstract

In 2+1 dimensions, Dirac fermions in reducible, i.e. four-component representations of the spinor algebra form the basis of many interesting model field theories and effective descriptions of condensed matter phenomena. This paper explores lattice formulations which preserve the global U(2N) symmetr...

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Published in: Journal of High Energy Physics
Published: 2015
URI: https://cronfa.swan.ac.uk/Record/cronfa23345
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first_indexed 2015-09-19T02:09:00Z
last_indexed 2019-08-09T15:08:51Z
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spelling 2019-08-08T10:49:47.5249118 v2 23345 2015-09-18 Domain wall fermions for planar physics b34293f7370adc1d2cac9b93717a61c7 Simon Hands Simon Hands true false 2015-09-18 FGSEN In 2+1 dimensions, Dirac fermions in reducible, i.e. four-component representations of the spinor algebra form the basis of many interesting model field theories and effective descriptions of condensed matter phenomena. This paper explores lattice formulations which preserve the global U(2N) symmetry present in the massless limit, and its breakdown to U(N)xU(N) implemented by three independent and parity-invariant fermion mass terms. I set out generalisations of the Ginsparg-Wilson relation, leading to a formulation of an overlap operator, and explore the remnants of the global symmetries which depart from the continuum form by terms of order of the lattice spacing. I also define a domain wall formulation in 2+1+1d, and present numerical evidence, in the form of bilinear condensate and meson correlator calculations in quenched non-compact QED using reformulations of all three mass terms, to show that U(2N) symmetry is recovered in the limit that the domain-wall separation L tends to infinity. The possibility that overlap and domain wall formulations of reducible fermions may coincide only in the continuum limit is discussed. Journal Article Journal of High Energy Physics 09 047 Lattice Quantum Field Theory, Field Theories in Lower Dimensions, Global Symmetries 9 9 2015 2015-09-09 10.1007/JHEP09(2015)047 arXiv:1507.07717 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2019-08-08T10:49:47.5249118 2015-09-18T08:20:00.5840331 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Simon Hands 1 0023345-18092015082750.pdf JHEP09(2015)047.pdf 2015-09-18T08:27:50.7270000 Output 790113 application/pdf Version of Record true 2015-09-18T00:00:00.0000000 true
title Domain wall fermions for planar physics
spellingShingle Domain wall fermions for planar physics
Simon Hands
title_short Domain wall fermions for planar physics
title_full Domain wall fermions for planar physics
title_fullStr Domain wall fermions for planar physics
title_full_unstemmed Domain wall fermions for planar physics
title_sort Domain wall fermions for planar physics
author_id_str_mv b34293f7370adc1d2cac9b93717a61c7
author_id_fullname_str_mv b34293f7370adc1d2cac9b93717a61c7_***_Simon Hands
author Simon Hands
author2 Simon Hands
format Journal article
container_title Journal of High Energy Physics
container_volume 09
container_issue 047
publishDate 2015
institution Swansea University
doi_str_mv 10.1007/JHEP09(2015)047
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
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description In 2+1 dimensions, Dirac fermions in reducible, i.e. four-component representations of the spinor algebra form the basis of many interesting model field theories and effective descriptions of condensed matter phenomena. This paper explores lattice formulations which preserve the global U(2N) symmetry present in the massless limit, and its breakdown to U(N)xU(N) implemented by three independent and parity-invariant fermion mass terms. I set out generalisations of the Ginsparg-Wilson relation, leading to a formulation of an overlap operator, and explore the remnants of the global symmetries which depart from the continuum form by terms of order of the lattice spacing. I also define a domain wall formulation in 2+1+1d, and present numerical evidence, in the form of bilinear condensate and meson correlator calculations in quenched non-compact QED using reformulations of all three mass terms, to show that U(2N) symmetry is recovered in the limit that the domain-wall separation L tends to infinity. The possibility that overlap and domain wall formulations of reducible fermions may coincide only in the continuum limit is discussed.
published_date 2015-09-09T03:27:32Z
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score 11.035634

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