• Prof. Vakhtang Gogokhia
  • Prof. Vakhtang Gogokhia
  • WIGNER RCP, Hungary and Tbilisi State University, Georgia
  • Title: THE ORIGIN OF MASS IN QCD
  • Abstract: We have explicitly shown that a mass scale parameter (in what follows it will be called the mass gap, for convenience, see remarks below as well) can be present in the gluon Schwinger-Dyson (SD) equation without violating its SU(3) color gauge invariance. In other words, the full gluon propagator in the presence of the mass gap is in agreement with the corresponding Slavnov-Taylor (ST) identity. The mass gap is generated in the gluon sector of QCD (i.e., in its Yang-Mills (YM) part) due to the self-interaction of massless gluon modes, so it has not been introduced by hand. No any truncations/approximations/assumptions, no special gauge choice, etc. have been made, only algebraic (i.e., exact) derivations have been used. In the most general way, we have establish the existence of the two types of exact solutions for the full gluon propagator: massless singular and massive regular at small gluon momenta. One of the important result obtained is the summation of the severe infrared (IR) singularities originating by the self-interaction of massless gluon modes in QCD. It makes it possible to accumulate/summarize them into the full gluon propagator by the help of the mass gap. By the joint use of the theory of distributions, the dimensional regularization method and some basic theorems from the theory of functions of complex variable, such as Picard or, equivalently, Weierstrass– Sokhatsky–Casorati, Laurent, etc., we put the severe IR singularities in QCD under a firm mathematical control. The mass gap approach to QCD is one of the important new advances in modern physics at microscopic quantum level. For the first time, it has been suggested by A. Jaffe and E. Witten at the beginning of this millennium. Our mass gap coincides with their mass gap by properties, but not by definition. The description of our results in more detail and the list of the corresponding references can be found in our recent book ”The Mass Gap and its Applications” (World Scientific, 2013) by V. Gogokhia and G.G. Barnafoldi.
  • Biography: Vakhtang Gogokhia was born in 1945 in Rep. of Georgia (former USSR). Finished his Doctoral dissertation (Ph. D.) in 1974 at the Laboratory of Theoretical Physics of the Joint Institute for Nuclear Research (JINR) Dubna, former USSR. From 1970 until 1992 worked at the A. Razmadze Mathematical Institute of the Georgian Academy of Sciences. He again became a senior staff at this Institute - now of I. Javakhishvili Tbilisi State University - in 2012. From 1992 has joined the Institute for Particle and Nuclear Physics of the Hungarian Academy of Sciences - now Wigner Research Center for Physics. From 1997-1999 was COE professor at the Research Center for Nuclear Physics (RCNP) at Osaka University, Japan. His book "The Mass Gap and its Applications" was published by Word Scienti c in 2013. In 2015 Mr. Gogokhia has been awarded with the Georgian National Prize for Science by the government of Georgia. His main research interests are: non-perturbative effects, methods and problems in classical and quantum gauge eld theories (such as Yang-Mills, Quantum Chromodynamics, Quantum Electrodynamics, Standard Model) and elementary particle/nuclear physics theory/phenomenology. He also interested in the generalization of these theories to non-zero temperature and density. Their ground states (vacua) dynamical and topological structure (under extreme conditions as well) are also the subject of his interests. He married and has two children and a granddaughter.
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April 18-20, 2017
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