The beta function ofN= 1 SYM in differential renormalization | Zendy

Javier Mas | Zendy; César Seijas | Zendy; M. Pérez-Victoria | Zendy

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The beta function ofN= 1 SYM in differential renormalization

Author(s) -

Javier Mas,

César Seijas,

M. Pérez-Victoria

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/03/049

Subject(s) - beta function (physics) , beta (programming language) , renormalization , mathematical physics , physics , differential (mechanical device) , function (biology) , mathematics , quantum electrodynamics , quantum mechanics , computer science , biology , thermodynamics , quantum gravity , quantum , evolutionary biology , relationship between string theory and quantum field theory , programming language

Using differential renormalization, we calculate the complete two-pointfunction of the background gauge superfield in pure N=1 SupersymmetricYang-Mills theory to two loops. Ultraviolet and (off-shell) infrareddivergences are renormalized in position and momentum space respectively. Thisallows us to reobtain the beta function from the dependence on the ultravioletrenormalization scale in an infrared-safe way. The two-loop coefficient of thebeta function is generated by the one-loop ultraviolet renormalization of thequantum gauge field via nonlocal terms which are infrared divergent on shell.We also discuss the connection of the beta function to the flow of theWilsonian coupling.Comment: 20 pages, 2 figures. Reference added, minor correction

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