Report/Journal Article

PUBDB-2016-03991

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png The chirally rotated Schrödinger functional: theoretical expectations and perturbative tests

Dalla Brida, M. (Corresponding author)DESY* ; Sint, S. M.DESY* ; Vilaseca, P.Extern*

2016
Springer Berlin

This record in other databases:        

Please use a persistent id in citations: doi:10.1007/JHEP08(2016)102

Report No.: DESY-16-040; TCDMATH-16-02

Abstract: The chirally rotated Schrödinger functional ($_{\chi}$SF) with massless Wilson-type fermions provides an alternative lattice regularization of the Schrödinger functional (SF), with different lattice symmetries and a common continuum limit expected from universality.The explicit breaking of flavour and parity symmetries needs to be repaired by tuning the bare fermion mass and the coefficient of a dimension 3 boundary counterterm. Once this is achieved one expects the mechanism of automatic O(a) improvement to be operational in the $_{\chi}$SF, in contrast to the standard formulation of the SF. This is expected to significantly improve the attainable precision for step-scaling functions of some composite operators. Furthermore, the $_{\chi}$SF offers new strategies to determine finite renormalization constants which are traditionally obtained from chiral Ward identities. In this paper we consider a complete set of fermion bilinear operators, define corresponding correlation functions and explain the relation to their standard SF counterparts. We discuss renormalization and O(a) improvement and then use this set-up to formulate the theoretical expectations which follow from universality. Expanding the correlation functions to one-loop order of perturbation theory we then perform a number of non-trivial checks. In the process we obtain the action counterterm coefficients to one-loop order and reproduce some known perturbative results for renormalization constants of fermion bilinears. By conforming thetheoretical expectations, this perturbative study lends further support to the soundness of the $_{\chi}$SF framework and prepares the ground for non-perturbative applications.

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Contributing Institute(s):

1. NIC (ZEU-NIC)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
2. STRONGNET - Strong Interaction Supercomputing Training Network (238353) (238353)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2016

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Database coverage:
; ; ; ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; IF >= 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint/Report Dalla Brida, M. (Corresponding author)DESY* ; Sint, S.DESY* ; Vilaseca, P.
The chirally rotated Schrödinger functional: theoretical expectations and perturbative tests
[10.3204/PUBDB-2016-02748]     Files  Fulltext by arXiv.org Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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