Gluon dynamics from an ordinary differential equation
نویسندگان
چکیده
We present a novel method for computing the nonperturbative kinetic term of gluon propagator from an exactly solvable ordinary differential equation, whose origin is fundamental Slavnov-Taylor identity satisfied by three-gluon vertex, evaluated in special kinematic limit. The main ingredients comprising solution are well-known projection simulated on lattice, and particular derivative ghost-gluon kernel, approximate form derived standard Schwinger-Dyson equation. Crucially, physical requirement pole-free answer determines completely initial condition, value calculated specific integral containing same as itself. This outstanding feature fixes uniquely, at least principle, term, once equation have been accurately evaluated. Furthermore, case where has independently accessed this property leads to unambiguous extraction momentum-dependent effective mass. practical implementation carried out detail, required approximations theoretical assumptions duly highlighted. systematic improvement approach through detailed computation one its pivotal components briefly outlined.
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ژورنال
عنوان ژورنال: European Physical Journal C
سال: 2021
ISSN: ['1434-6044', '1434-6052']
DOI: https://doi.org/10.1140/epjc/s10052-021-08849-8