Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function

التفاصيل البيبلوغرافية
العنوان: Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
المؤلفون: Capri, M. A. L., Dudal, D., Pereira, A. D., Fiorentini, D., Guimaraes, M. S., Mintz, B. W., Palhares, L. F., Sorella, S. P.
المصدر: Phys. Rev. D 95, 045011 (2017)
سنة النشر: 2016
المجموعة: High Energy Physics - Lattice
High Energy Physics - Phenomenology
High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory, High Energy Physics - Lattice, High Energy Physics - Phenomenology
الوصف: In order to construct a gauge invariant two-point function in a Yang-Mills theory, we propose the use of the all-order gauge invariant transverse configurations A^h. Such configurations can be obtained through the minimization of the functional A^2_{min} along the gauge orbit within the BRST invariant formulation of the Gribov-Zwanziger framework recently put forward in [1,2] for the class of the linear covariant gauges. This correlator turns out to provide a characterization of non-perturbative aspects of the theory in a BRST invariant and gauge parameter independent way. In particular, it turns out that the poles of are the same as those of the transverse part of the gluon propagator, which are also formally shown to be independent of the gauge parameter entering the gauge condition through the Nielsen identities. The latter follow from the new exact BRST invariant formulation introduced before. Moreover, the correlator enables us to attach a BRST invariant meaning to the possible positivity violation of the corresponding temporal Schwinger correlator, giving thus for the first time a consistent, gauge parameter independent, setup to adopt the positivity violation of as a signature for gluon confinement. Finally, in the context of gauge theories supplemented with a fundamental Higgs field, we use to probe the pole structure of the massive gauge boson in a gauge invariant fashion.
Comment: 31 pages. v2: extended bibliography + new subsection on LKF transformations
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevD.95.045011
URL الوصول: http://arxiv.org/abs/1611.10077
رقم الأكسشن: edsarx.1611.10077
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevD.95.045011