Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions
Abstract Perturbing the standard Gross-Neveu model for N 3 fermions by quartic interactions with the appropriate tensorial contraction patterns, we reduce the original U(N 3) symmetry to either U(N) × U(N 2) or U(N) × U(N) × U(N). In the large-N limit, we show that in three dimensions such models ad...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2019)218 |
| id |
doaj-d8fba85253f74f7a898dc8ba543ccb45 |
|---|---|
| record_format |
Article |
| spelling |
doaj-d8fba85253f74f7a898dc8ba543ccb452020-11-25T01:17:47ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019113210.1007/JHEP01(2019)218Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensionsDario Benedetti0Nicolas Delporte1Laboratoire de Physique Théorique (UMR8627), CNRS, Univ. Paris-Sud, Université Paris-SaclayLaboratoire de Physique Théorique (UMR8627), CNRS, Univ. Paris-Sud, Université Paris-SaclayAbstract Perturbing the standard Gross-Neveu model for N 3 fermions by quartic interactions with the appropriate tensorial contraction patterns, we reduce the original U(N 3) symmetry to either U(N) × U(N 2) or U(N) × U(N) × U(N). In the large-N limit, we show that in three dimensions such models admit new ultraviolet fixed points with reduced symmetry, besides the well-known one with maximal symmetry. The phase diagram notably presents a new phase with spontaneous symmetry breaking of one U(N) component of the symmetry group.http://link.springer.com/article/10.1007/JHEP01(2019)218Effective Field TheoriesGlobal Symmetries |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Dario Benedetti Nicolas Delporte |
| spellingShingle |
Dario Benedetti Nicolas Delporte Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions Journal of High Energy Physics Effective Field Theories Global Symmetries |
| author_facet |
Dario Benedetti Nicolas Delporte |
| author_sort |
Dario Benedetti |
| title |
Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions |
| title_short |
Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions |
| title_full |
Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions |
| title_fullStr |
Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions |
| title_full_unstemmed |
Phase diagram and fixed points of tensorial Gross-Neveu models in three dimensions |
| title_sort |
phase diagram and fixed points of tensorial gross-neveu models in three dimensions |
| publisher |
SpringerOpen |
| series |
Journal of High Energy Physics |
| issn |
1029-8479 |
| publishDate |
2019-01-01 |
| description |
Abstract Perturbing the standard Gross-Neveu model for N 3 fermions by quartic interactions with the appropriate tensorial contraction patterns, we reduce the original U(N 3) symmetry to either U(N) × U(N 2) or U(N) × U(N) × U(N). In the large-N limit, we show that in three dimensions such models admit new ultraviolet fixed points with reduced symmetry, besides the well-known one with maximal symmetry. The phase diagram notably presents a new phase with spontaneous symmetry breaking of one U(N) component of the symmetry group. |
| topic |
Effective Field Theories Global Symmetries |
| url |
http://link.springer.com/article/10.1007/JHEP01(2019)218 |
| work_keys_str_mv |
AT dariobenedetti phasediagramandfixedpointsoftensorialgrossneveumodelsinthreedimensions AT nicolasdelporte phasediagramandfixedpointsoftensorialgrossneveumodelsinthreedimensions |
| _version_ |
1725145913888866304 |