Improved Renormalization Group Analysis for Yang-Mills Theory | Zendy

Shoichi Kawamoto | Zendy; Tatsuhito Matsuo | Zendy

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Improved Renormalization Group Analysis for Yang-Mills Theory

Author(s) -

Shoichi Kawamoto,

Tatsuhito Matsuo

Publication year - 2008

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.119.303

Subject(s) - physics , mathematical physics , yang–mills theory , sigma model , renormalization group , gauge group , renormalization , beta function (physics) , gauge theory , sigma , invariant (physics) , gauge (firearms) , scale invariance , nonlinear system , quantum mechanics , thermal quantum field theory , quantum gravity , archaeology , quantum , history

We apply an improved renormalization group analysis for pure Yang-Millstheory at one loop order and obtained the result that a non-perturbativelygenerated pole mass of gluon emerges as $M_P^2/\Lambda^2 \simeq 0.66$, where$\Lambda$ is the $MS$-bar scale.Comment: 1+16 pages, 3 figures; ver 2, typos corrected, and some comments and references added; ver 3, some sentences corrected, a figure replaced and a number corrected; ver 4, in sec 2, the derivation of the main formula is refined, final version to appear in Prog.Theor.Phy

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