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Spontaneously broken quark helicity symmetry. (English) Zbl 1091.81510

Summary: We discuss the origin of chiral-symmetry breaking in the light-cone representation of QCD. In particular, we show how quark helicity symmetry is spontaneously broken in \(\text{SU}(N)\) gauge theory with massless quarks if that theory has a condensate of fermion light-cone zero modes. The symmetry breaking appears as induced interactions in an effective light-cone Hamiltonian equation based on a trivial vacuum. The induced interaction is crucial for generating a splitting between pseudoscalar and vector meson masses, which we illustrate with spectrum calculations in some \(1+1\)-dimensional reduced models of gauge theory.

MSC:

81V05 Strong interaction, including quantum chromodynamics
81R40 Symmetry breaking in quantum theory
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T70 Quantization in field theory; cohomological methods
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References:

[1] Brodsky, S. J.; Pauli, H.-C.; Pinsky, S., Phys. Rep., 301, 299 (1998)
[2] Shifman, M., (ITEP Lectures on Particle Physics and Field Theory (1999), World Scientific: World Scientific Singapore) · Zbl 0924.00056
[3] McCartor, G., Z. Phys. C, 64, 349 (1994)
[4] Nakawaki, Y.; McCartor, G., Prog. Theor. Phys., 103, 161 (2000)
[5] McCartor, G., Nucl. Phys. B (Proc. Suppl.), 90, 37 (2000)
[6] McCartor, G.; Robertsons, D.; Pinsky, S., Phys. Rev. D, 56, 1035 (1997)
[7] Allen, B. H.; Perry, R. J., Phys. Rev. D, 62, 025005 (2000)
[8] Phys. Rev. D, 62, 014507 (2000)
[9] Ilgenfritz, E.-M.; Ivanov, Yu. P.; Pirner, H.-J., Phys. Rev. D, 62, 054006 (2000)
[10] Lenz, F.; Steinbacher, D., Phys. Rev. D, 67, 045010 (2003)
[11] Burkardt, M., Phys. Rev. D, 58, 096015 (1998)
[12] D. Mustaki, Bowling Green State University preprint. Available from: <hep-ph/9404206; D. Mustaki, Bowling Green State University preprint. Available from: <hep-ph/9404206
[13] McCartor, G., Z. Phys. C, 41, 271 (1988)
[14] Nucl. Phys. B, 76, 413 (1974)
[15] Perry, R., Nucl. Phys. B (Proc. Suppl.), 90, 87 (2000)
[16] Lowenstein, J. H.; Swieca, J. A., Ann. Phys., 68, 172 (1971)
[17] Prog. Theor. Phys., 70, 1105 (1983), for the discrete case see · Zbl 0515.73077
[18] Klaiber, B., Boulder Lectures in Theoretical Physics, vol. XA (1967), Gordon and Breach: Gordon and Breach New York
[19] McCartor, G., Phys. Rev. D, 60, 105004 (1999)
[20] Pauli, H.-C.; Brodsky, S. J., Phys. Rev. D, 32, 1993 (1985)
[21] Phys. Lett. B, 376, 154 (1996)
[22] Alfaro, J.; Andrianov, A.; Labrana, P., J. High Energy Phys., 0407, 067 (2004)
[23] Burkardt, M., Phys. Rev. D, 57, 1136 (1998)
[24] S. Dalley, B. van de Sande, in: Lightcone Physics: Hadrons and Beyond p78 (Durham IPPP, 2003). Available from: <hep-ph/0311368; S. Dalley, B. van de Sande, in: Lightcone Physics: Hadrons and Beyond p78 (Durham IPPP, 2003). Available from: <hep-ph/0311368
[25] Dalley, S.; van de Sande, B., Phys. Rev. D, 67, 114507 (2003)
[26] Paston, S. A.; Franke, V. A.; Prokhvatilov, E. V., Teor. Mat. Fiz., 120, 417 (1999), Available from:
[27] Lenz, F.; Ohta, K.; Thies, M.; Yazaki, K., Phys. Rev. D, 70, 025015 (2004)
[28] Paston, S. A.; Franke, V. A.; Prokhvatilov, E. V., Phys. Atom. Nucl., 68, 267 (2005)
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