More on ghost condensation in Yang-Mills theory: BCS versus Overhauser effect and the breakdown of the Nakanishi-Ojima annex SL(2,Bbb R) symmetry | Zendy

David Dudal | Zendy; Henri Verschelde | Zendy; V. E. R. Lemes | Zendy; M. S. Sarandy | Zendy; S. P. Sorella | Zendy; Marco Picariello | Zendy; A. Vicini | Zendy; J. A. Gracey | Zendy

Open Access

More on ghost condensation in Yang-Mills theory: BCS versus Overhauser effect and the breakdown of the Nakanishi-Ojima annex SL(2,Bbb R) symmetry

Author(s) -

David Dudal,

Henri Verschelde,

V. E. R. Lemes,

M. S. Sarandy,

S. P. Sorella,

Marco Picariello,

A. Vicini,

J. A. Gracey

Publication year - 2003

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 - 10.1088/1126-6708/2003/06/003

Subject(s) - brst quantization , mathematical physics , gauge theory , physics , yang–mills theory , continuous symmetry , mathematics , algebra over a field , quantum mechanics , pure mathematics

We analyze the ghost condensates , and in Yang-Mills theory in the Curci-Ferrari gauge. Bycombining the local composite operator formalism with the algebraicrenormalization technique, we are able to give a simultaneous discussion of, and , whichcan be seen as playing the role of the BCS, respectively Overhauser effect inordinary superconductivity. The Curci-Ferrari gauge exhibits a globalcontinuous symmetry generated by the Nakanishi-Ojima (NO) algebra. This algebraincludes, next to the (anti-)BRST transformation, a SL(2,R) subalgebra. Wediscuss the dynamical symmetry breaking of the NO algebra through these ghostcondensates. Particular attention is paid to the Landau gauge, a special caseof the Curci-Ferrari gauge.Comment: 33 pages, 2 eps figures. v2: version published in JHEP, author added, error in potential corrected. Results and conclusions unchange

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