Non-perturbative to perturbative QCD via the FFBRST
Abstract Recently a new type of quadratic gauge was introduced in QCD in which the degrees of freedom are suggestive of a phase of abelian dominance. In its simplest form it is also free of Gribov ambiguity. However this gauge is not suitable for usual perturbation theory. The finite field dependent...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-05-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-5920-z |
| _version_ | 1818035870476795904 |
|---|---|
| author | Haresh Raval Bhabani Prasad Mandal |
| author_facet | Haresh Raval Bhabani Prasad Mandal |
| author_sort | Haresh Raval |
| collection | DOAJ |
| description | Abstract Recently a new type of quadratic gauge was introduced in QCD in which the degrees of freedom are suggestive of a phase of abelian dominance. In its simplest form it is also free of Gribov ambiguity. However this gauge is not suitable for usual perturbation theory. The finite field dependent BRST (FFBRST) transformation is a method established to interrelate generating functionals for different effective versions of gauge fixed field theories. In this paper we propose a FFBRST transformation suitable for transforming the theory in the new quadratic gauge into the standard Lorenz gauge Faddeev–Popov version of the effective lagrangian. The task is made interesting by the fact that the effective lagrangian is invariant under two different BRST transformations which leads to suitable extension of the previous procedures to accomplish the required result. We are thus able to identify a field redefinition to go from a non-perturbative phase of QCD to perturbative QCD. |
| first_indexed | 2024-12-10T07:01:55Z |
| format | Article |
| id | doaj.art-f525504838be4d2db2d4f1ae6bd3a0c7 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-10T07:01:55Z |
| publishDate | 2018-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-f525504838be4d2db2d4f1ae6bd3a0c72022-12-22T01:58:19ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-05-017851610.1140/epjc/s10052-018-5920-zNon-perturbative to perturbative QCD via the FFBRSTHaresh Raval0Bhabani Prasad Mandal1Department of Physics, Indian Institute of Technology, BombayDepartment of Physics, Institute of Science, Banaras Hindu UniversityAbstract Recently a new type of quadratic gauge was introduced in QCD in which the degrees of freedom are suggestive of a phase of abelian dominance. In its simplest form it is also free of Gribov ambiguity. However this gauge is not suitable for usual perturbation theory. The finite field dependent BRST (FFBRST) transformation is a method established to interrelate generating functionals for different effective versions of gauge fixed field theories. In this paper we propose a FFBRST transformation suitable for transforming the theory in the new quadratic gauge into the standard Lorenz gauge Faddeev–Popov version of the effective lagrangian. The task is made interesting by the fact that the effective lagrangian is invariant under two different BRST transformations which leads to suitable extension of the previous procedures to accomplish the required result. We are thus able to identify a field redefinition to go from a non-perturbative phase of QCD to perturbative QCD.http://link.springer.com/article/10.1140/epjc/s10052-018-5920-z |
| spellingShingle | Haresh Raval Bhabani Prasad Mandal Non-perturbative to perturbative QCD via the FFBRST European Physical Journal C: Particles and Fields |
| title | Non-perturbative to perturbative QCD via the FFBRST |
| title_full | Non-perturbative to perturbative QCD via the FFBRST |
| title_fullStr | Non-perturbative to perturbative QCD via the FFBRST |
| title_full_unstemmed | Non-perturbative to perturbative QCD via the FFBRST |
| title_short | Non-perturbative to perturbative QCD via the FFBRST |
| title_sort | non perturbative to perturbative qcd via the ffbrst |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-5920-z |
| work_keys_str_mv | AT hareshraval nonperturbativetoperturbativeqcdviatheffbrst AT bhabaniprasadmandal nonperturbativetoperturbativeqcdviatheffbrst |