Condensates in quantum chromodynamics and the cosmological constant

Proceedings of the National Academy of Sciences of the United States of America

Volumn 108, Issue 1, 2011, Pages 45-50

  Brodsky, Stanley J ^a,b   Shrock, Robert ^b  

^a SLAC NATIONAL ACCELERATOR LABORATORY   (United States)

^b STONY BROOK UNIVERSITY   (United States)

Author keywords

Dark energy; Gauge theory; Vacuum properties

Indexed keywords

ARTICLE; COSMOS; GLUON; HADRON; MOLECULAR DYNAMICS; PRIORITY JOURNAL; QUANTUM MECHANICS; QUANTUM THEORY; QUARK;

EID: 78651076180     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1010113107     Document Type: Article

References (88)

1. Casher A, Susskind L (1974) Chiral magnetism (or magnetohadrochironics). Phys Rev D 9:436-460.
2. Casher A, Noskowitz H, Susskind L (1971) Goldstone-Nambu bosons in dual and parton theories. Nucl Phys B 32:75-92.
3. Weinberg S (1966) Dynamics at infinite momentum. Phys Rev 150:1313-1318.
4. Dirac PAM (1949) Forms of relativistic dynamics. Rev Mod Phys 21:392-399.
5. Mueller AH (1994) Soft gluons in the infinite momentum wave function and the BFKL pomeron. Nucl Phys B 415:373-385.
6. Antonuccio F, Brodsky SJ, Dalley S (1997) Light-cone wavefunctions at smallx. Phys Lett B 412:104-110.
7. Motyka L, Stasto AM (2009) Exact kinematics in the smallx evolution of the color dipole and gluon cascade. Phys Rev D 79:085016.
8. Lane K (1974) Asymptotic freedom and Goldstone realization of chiral symmetry. Phys Rev D 10:2605-2618.
9. Politzer HD (1976) Effective quark masses in the chiral limit. Nucl Phys B 117:397-406.
10. Kugo T (1978) Dynamical instability of the vacuum in the Lagrangian formalism of the Bethe-Salpeter bound states. Phys Lett B 76:625-630.
11. Pagels H (1979) Dynamical chiral symmetry breaking in quantum chromodynamics. Phys Rev D 19:3080-3090.
12. Higashijima K (1984) Dynamical chiral symmetry breaking. Phys Rev D 29:1228-1232.
13. Brodsky SJ, Shrock R (2008) Maximum wavelength of confined quarks and gluons and properties of quantum chromodynamics. Phys Lett B 666:95-99 arXiv:0803.2541; arXiv:0803.2554.
14. Maris P, Roberts CD, Tandy PC (1998) Pion mass and decay constant. Phys Lett B 420:267-273.
15. Maris P, Roberts CD (1997) π and K meson Bethe-Salpeter amplitudes. Phys Rev C: Nucl Phys 56:3369-3383.
16. Langfeld K, Markum H, Pullirsch R, Roberts CD, Schmidt SM (2003) Concerning the quark condensate. Phys Rev C: Nucl Phys 67:065206.
17. Banks T, Casher A (1980) Chiral symmetry breaking in confining theories. Nucl Phys B 169:103-125.
18. Gell-Mann M, Oakes RJ, Renner B (1968) Behavior of current divergences underSU(3) x SU(3). Phys Rev 175:2195-2199.
19. Brodsky SJ, Hwang DS, Ma BQ, Schmidt I (2001) Light-cone representation of the spin and orbital angular momentum of relativistic composite systems. Nucl Phys B 593:311-335.
20. Teryaev OV (1999) Spin structure of nucleon and equivalence principle. ArXiv:hep-ph/9904376.
21. Berends FA, Gastmans R (1976) Quantum electrodynamical corrections to graviton-matter vertices. Ann Phys 98:225-236.
22. Fetter A, Walecka J (1971) Quantum Theory of Many-Particle Systems (McGraw-Hill, New York) p 439.
23. Tinkham M (1996) Introduction to Superconductivity (McGraw-Hill, New York) p 1.
24. Fisher ME, Ferdinand AE (1967) Interfacial, boundary, and size effects at critical points. Phys Rev Lett 19:169-172.
25. Fisher ME, Barber MN (1972) Scaling theory for finite-size effects in the critical region. Phys Rev Lett 28:1516-1519.
26. Barber MN (1983) Finite size scaling. Phase Transitions and Critical Phenomena, eds C Domb and JL Lebowitz (Academic, New York), Vol. 8, pp 145-266.
27. Casher A (1979) Chiral symmetry breaking in quark confining theories. Phys Lett B 83:395-398.
28. Brodsky SJ, Pauli HC, Pinsky SS (1998) Quantum chromodynamics and other field theories on the light cone. Phys Rep 301:299-486.
29. Susskind L, Burkardt M (1994) A Model of mesons based on chi(SB) in the light front frame. Proceedings of the Fourth International Conference on the Theory of Hadrons and Light-Front QCD, Zakopane pp 5-14 arXiv:hep-ph/9410313v1.
30. Burkardt M (1998) Dynamical vertex mass generation and chiral symmetry breaking on the light front. Phys Rev D 58:096015.
31. Brodsky SJ, de Téramond GF (2004) Light front hadron dynamics and AdS/CFT correspondence. Phys Lett B 582:211-221.
32. de Téramond GF, Brodsky SJ (2005) Hadronic spectrum of a holographic dual of QCD. Phys Rev Lett 24:201601.
33. Brodsky SJ, de Téramond GF (2006) Hadronic spectra and light-front wavefunctions in holographic QCD. Phys Rev Lett 96:201601.
34. Brodsky SJ, de Téramond GF, Shrock R (2008) Light front holography and hadronization at the amplitude level. Proceedings of the Sixth International Conference on Perspectives on Hadron Physics, American Institute of Physics Conference Proceedings 1056 pp:3-14.
35. Erlich J, Katz E, Son DT, Stephanov MA (2005) QCD and a holographic model of hadrons. Phys Rev Lett 95:261602.
36. Da Rold L, Pomarol A (2005) Chiral symmetry breaking from five-dimensional spaces. Nucl Phys B 721:79-97.
37. Chodos A, Thorn CB (1975) Chiral invariance in a bag theory. Phys Rev D 12:2733-2743.
38. Brown GE, Rho M (1979) The little bag. Phys Lett B 82:177-180.
39. Hosaka A, Toki H (1996) Chiral bag models for the nucleon. Phys Rep 277:65-188.
40. Shifman MA, Vainshtein AI, Zakharov VI (1979) QCD and resonance physics. Sum rules. Nucl Phys B 147:385-447.
41. Shifman MA, Vainshtein AI, Zakharov VI (1979) QCD and resonance physics. Applications. Nucl Phys B 147:448-518.
42. Narison S (1989) QCD Spectral Sum Rules (World Scientific, Singapore) p 1.
43. Barate R, et al. (1998) Studies of quantum chromodynamics with the ALEPH detector. Phys Rep 294:1-165.
44. 2 plane. Phys Rev D 64:093009.
45. Ioffe BL, Zyablyuk KN (2003) Gluon condensate in charmonium sum rules with three loop corrections. Eur Phys J C 27:229-241.
46. Davier M, Höcker A, Zhang Z (2007) ALEPH tau spectral functions and QCD. Nucl Phys B, Proc Suppl 169:22-35.
47. s from τ decays revisited. Eur Phys J C 56:305-322.
48. Bjorken JD (1991) What lies ahead? Proceedings Superconductivity Super Collider Workshop, Corpus Christi, In Conclusion: A Collection of Summary Talks in High Energy Physics (World Scientific, Singapore).
49. Bjorken JD (1997) Disoriented chiral condensate: Theory and Phenomenology. Acta Phys Pol B28:2773-2791.
50. Mohanty B, Serreau J (2005) Disoriented chiral condensate: Theory and experiment. Phys Rep 414:263-358.
51. Kogut J (1983) The lattice gauge theory approach to quantum chromodynamics. Rev Mod Phys 55:775-836.
52. Weinberg S (1979) Implications of dynamical symmetry breaking: An addendum. Phys Rev D 19:1277-1280.
53. Susskind L (1979) Dynamics of spontaneous symmetry breaking in the Weinberg-Salam theory. Phys Rev D 20:2619-2625.
54. 't Hooft G, et al., ed. (1980) Recent Development in Gauge Theories NATO Advanced Study Institutes Series - Series B: Physics (Plenum, New York), 59, p 438.
55. Dimopoulos S, Raby S, Susskind L (1980) Light composite fermions. Nucl Phys B 173:208-228.
56. Dimopoulos S, Susskind L (1979) Mass without scalars. Nucl Phys B 155:237-252.
57. Eichten E, Lane K (1980) Dynamical breaking of weak interaction symmetries. Phys Lett B 90:125-130.
58. McLerran LD, Venugopalan R (1994) Computing quark and gluon distribution functions for very large nuclei. Phys Rev D 49:2233-2241.
59. McLerran LD, Venugopalan R (1994) Gluon distribution functions for very large nuclei at small transverse momentum. Phys Rev D 49:3352-3355.
60. McLerran LD, Venugopalan R (1994) Green's functions in the color field of a large nucleus. Phys Rev D 50:2225-2233.
61. Peebles PJE, Ratra R (2003) The cosmological constant and dark energy. Rev Mod Phys 75:559-606.
62. Carroll SM (2001) The cosmological constant. Liv Rev Rel 4:1-49 astro-ph/0004075.
63. Padmanabhan T (2003) Cosmological constant - the weight of the vacuum. Phys Rep 380:235-320.
64. Padmanabhan T (2008) Dark energy and gravity. Gen Rel Grav 40:529-564.
65. Sahni V, Starobinsky AA (2006) Reconstructing dark matter. Int J Mod Phys D 15:2105-2132.
66. Frieman J, Turner MS, Huterer D (2008) Dark energy and the accelerating universe. Annu Rev Astron Astrophys 46:385-432.
67. Weinberg S (1989) The cosmological constant problem. Rev Mod Phys 61:1-23.
68. Λ, and w from the first year data set. Astron Astrophys 447:31-48.
69. Peebles PJE (1993) Principles of Physical Cosmology (Princeton Univ Press, Princeton) p 1.
70. Coles P, Lucchin F (2002) Cosmology: The Origin and Evolution of Cosmic Structure (Wiley, New York).
71. Dodelson S (2003) Modern Cosmology (Academic, Boston) p 1.
72. Carroll S (2004) Spacetime and Geometry: An Introduction to General Relativity (Addison-Wesley, San Francisco) p 1.
73. Weinberg S (2009) Cosmology (Oxford Univ Press, Oxford) p 1.
74. Misner CW, Thorne KS, Wheeler JA (1973) Gravity 1.
75. Riess AG, et al. (1998) Observational evidence from supernovae for an accelerating universe and a cosmological constant. Astron J 116:1009-1038.
76. Tonry JL, et al. (2003) Cosmological results from high-z supervovae. Astrophys J 594:1-24.
77. Riess AG, et al. (2004) Type 1a supernova discoveries at z > 1 from the Hubble Space Telescope: Evidence for past deceleration and constraints on dark energy evolution. Astrophys J 607:665-687.
78. Riess AG, et al. (2007) New Hubble Space Telescope discoveries of type 1a supernovae at z ≥ 1: Narrowing constraints on the early behavior of dark energy. Astrophys J 659:98-121.
79. Perlmutter S, et al. (1999) Measurements of Ω and Λ from 42 high-redshift supernovae. Astrophys J 517:565-586.
80. Λ, andw from an independent set of 11 high-redshift supernovae observed with HST. Astrophys J 598:102-137.
81. Λ, and w from the first year dataset. Astron Astrophys 447:31-48.
82. Kogut A, et al. (2007) Three-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Foreground Polarization. Astrophys J 665:355-362.
83. Tegmark M, et al. (2006) Cosmological constraints from the SDSS luminous red galaxies. Phys Rev D 74:123507.
84. Percival WJ, et al. (2007) Measuring the baryon acoustic oscillation scale using the SDSS and 2dFGRS. Mon Not Roy Astr Soc 381:1053-1069.
85. Amsler C, et al. (2008) Review of particle properties. Phys Lett B 667:1-1340.
86. Jaffe RL (2005) Casimir effect and the quantum vacuum. Phys Rev D 72:021301.
87. Srivastava PP, Brodsky SJ (2002) A unitary and renormalizable theory of the standard model in ghost free light cone gauge. Phys Rev D 66:045019.
88. Brodsky SJ (2004) Light-front QCD. Proceedings of the 58th Scottish University Summer School in Physics: A NATO Advanced Study Institute and EU Hadronic Physics 13th Summer Institute (Taylor and Francis, Oxford), pp 121-173.