Publication: Gauge-fixing independence of IR divergences in non commutative U(1), perturbative tachyonic instabilities and supersymmetry
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2001-03-15
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Elsevier Science Bv
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It is argued that the quadratic and linear non-commutative IR divergences that occur in U(1) theory on non-commutative Minkowski space-time for small non-commutativity matrices theta (mu nu) are gauge-fixing independent. This implies in particular that the perturbative tachyonic instability produced by the quadratic divergences of this type in the vacuum polarization tensor is not a gauge-fixing artifact. Supersymmetry can be introduced to remove from the renormalized Green functions at one loop, not only the non logarithmic non commutative IR divergences, but also all terms proportional to theta (mu nu)p(nu).
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© 2001 Published by Elsevier Science B.V.
The author is grateful C.P. Martín for many conversations and discussions, and to CICyT, Spain, for financial support through grant No. PB98-0842.
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[1] S. Minwalla, M.V. Raamsdonk, N. Seiberg, JHEP 0002 (2000) 020.
[2] A. Matusis, L. Susskind, N. Toumbas, The IR/UV connection in the non-commutative gauge theories, hep th/0002075.
[3] C.P. Martin, F. Ruiz Ruiz, Paramagnetic dominance, the sign of he beta function and UV/IR mixing in non commutative U(1), hep-th/0007131, to appear in Nucl. Phys. B.
[4] A. Connes, Non-commutative geometry, Academic Press, New York, 1994; G. Landi, in: An introduction to non commutative spaces and their geometries, Springer Lecture Notes in Physics, Vol. 51, Springer-Verlag, Berlin, 1997.
[5] J. Gomis, T. Mehen, Nucl. Phys. B 591 (2000) 265.
[6] N. Seiberg, L. Susskind, N. Toumbas, JHEP 0006 (2000) 021; J.L.F. Barbón, E. Rabinovici, Phys. Lett. B 486 (2000) 202.
[7] C.P. Martín, D. Sánchez-Ruiz, Phys. Rev. Lett. 83 (1999) 476.
[8] T. Krajewski, R.Wulkenhaar, J.Mod. Phys. A 15 (2000) 1011.
[9] M.M. Sheikh-Jabbari, JHEP 9906 (1999) 015; M. Hayakawa, Phys. Lett. B 478 (2000) 394; I.Ya. Aref’eva, D.M. Belov, A.S. Koshelev, O.A. Rytchkov, UV/IR mixing for noncommutative complex scalar field theory, II (interaction with gauge fields), hep-th/0003176; A. Armoni, Nucl. Phys. B 593 (2001) 229.
[10] J. Gomis, K. Landsteiner, E. López, Phys. Rev. D 62 (2000) 105006; K. Landsteiner, E. López, M.H.G. Tytgat, JHEP 0009 (2000) 027; J. Gomis, T. Mehen, M.B. Wise, JHEP 0008 (2000) 029.
[11] D. Zanon, Noncommutative N = 1, 2 super U(N) Yang– Mills: UV/IR mixing and effective action results at one loop, hep-th/0012009.