Dalley, Simon; McCartor, Gary Spontaneously broken quark helicity symmetry. (English) Zbl 1091.81510 Ann. Phys. 321, No. 2, 402-420 (2006). 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. Cited in 1 Document 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 Keywords:Chiral symmetry; Light-cone quantization PDFBibTeX XMLCite \textit{S. Dalley} and \textit{G. McCartor}, Ann. Phys. 321, No. 2, 402--420 (2006; Zbl 1091.81510) Full Text: DOI arXiv 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) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.