Baryon spectrum from superconformal quantum mechanics and its light-front holographic embedding

de Teramond, Guy F.; Dosch, Hans Gunter; Brodsky, Stanley J.

doi:10.1103/PhysRevD.91.045040

Title: Baryon spectrum from superconformal quantum mechanics and its light-front holographic embedding

Journal Article · Fri Feb 27 00:00:00 EST 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.91.045040· OSTI ID:1165918

de Teramond, Guy F. ^[1]; Dosch, Hans Gunter ^[2]; Brodsky, Stanley J. ^[3]

Univ. de Costa Rica, San Jose (Costa Rica)
Institut fur Theoretische Physik, Heidelberg (Germany)
SLAC National Accelerator Lab., Menlo Park, CA (United States)

We describe the observed light-baryon spectrum by extending superconformal quantum mechanics to the light front and its embedding in AdS space. This procedure uniquely determines the confinement potential for arbitrary half-integer spin. To this end, we show that fermionic wave equations in AdS space are dual to light-front supersymmetric quantum-mechanical bound-state equations in physical space-time. The specific breaking of conformal invariance explains hadronic properties common to light mesons and baryons, such as the observed mass pattern in the radial and orbital excitations, from the spectrum generating algebra. Lastly, the holographic embedding in AdS also explains distinctive and systematic features, such as the spin-J degeneracy for states with the same orbital angular momentum, observed in the light-baryon spectrum.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1165918

Alternate ID(s):: OSTI ID: 1180204

Report Number(s):: SLAC-PUB-16130; PRVDAQ; arXiv:1411.5243

Journal Information:: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 91, Issue 4; ISSN 1550-7998

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 80 works

Citation information provided by
Web of Science

References (54)

Conformal invariance in perturbation theory Parisi, G. Physics Letters B, Vol. 39, Issue 5 https://doi.org/10.1016/0370-2693(72)90020-2	journal	May 1972
The Uses of conformal symmetry in QCD Braun, V. M.; Korchemsky, G. P.; Müller, D. Progress in Particle and Nuclear Physics, Vol. 51, Issue 2 https://doi.org/10.1016/S0146-6410(03)90004-4	journal	January 2003
Light-Front Holography: A First Approximation to QCD de Téramond, Guy F.; Brodsky, Stanley J. Physical Review Letters, Vol. 102, Issue 8 https://doi.org/10.1103/PhysRevLett.102.081601	journal	February 2009
Conformal invariance in quantum mechanics de Alfaro, V.; Fubini, S.; Furlan, G. Il Nuovo Cimento A, Vol. 34, Issue 4 https://doi.org/10.1007/BF02785666	journal	August 1976
Threefold complementary approach to holographic QCD Brodsky, Stanley J.; de Téramond, Guy F.; Dosch, Hans Günter Physics Letters B, Vol. 729 https://doi.org/10.1016/j.physletb.2013.12.044	journal	February 2014
Harmonic confinement: A fully relativistic approximation to the meson spectrum Leutwyler, H.; Stern, J. Physics Letters B, Vol. 73, Issue 1 https://doi.org/10.1016/0370-2693(78)90175-2	journal	January 1978
Effective confining potentials for QCD Trawiński, Arkadiusz P.; Głazek, Stanisław D.; Brodsky, Stanley J. Physical Review D, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevD.90.074017	journal	October 2014
Kinematical and dynamical aspects of higher-spin bound-state equations in holographic QCD de Téramond, Guy F.; Dosch, Hans Günter; Brodsky, Stanley J. Physical Review D, Vol. 87, Issue 7 https://doi.org/10.1103/PhysRevD.87.075005	journal	April 2013
The Large-N Limit of Superconformal Field Theories and Supergravity Maldacena, Juan International Journal of Theoretical Physics, Vol. 38, Issue 4, p. 1113-1133 https://doi.org/10.1023/A:1026654312961	journal	January 1999
Gauge theory correlators from non-critical string theory Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M. Physics Letters B, Vol. 428, Issue 1-2 https://doi.org/10.1016/S0370-2693(98)00377-3	journal	May 1998
Anti de Sitter space and holography Witten, Edward Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a2	journal	January 1998
Maximum wavelength of confined quarks and gluons and properties of quantum chromodynamics Brodsky, Stanley J.; Shrock, Robert Physics Letters B, Vol. 666, Issue 1 https://doi.org/10.1016/j.physletb.2008.06.054	journal	August 2008
Nonperturbative QCD coupling and its $β$ function from light-front holography Brodsky, Stanley J.; de Téramond, Guy F.; Deur, Alexandre Physical Review D, Vol. 81, Issue 9 https://doi.org/10.1103/PhysRevD.81.096010	journal	May 2010
Hadronic Spectra and Light-Front Wave Functions in Holographic QCD Brodsky, Stanley J.; de Téramond, Guy F. Physical Review Letters, Vol. 96, Issue 20 https://doi.org/10.1103/PhysRevLett.96.201601	journal	May 2006
Spectroscopy of fermionic operators in AdS/CFT Kirsch, Ingo Journal of High Energy Physics, Vol. 2006, Issue 09 https://doi.org/10.1088/1126-6708/2006/09/052	journal	September 2006
Nucleon electromagnetic and gravitational form factors from holography Abidin, Zainul; Carlson, Carl E. Physical Review D, Vol. 79, Issue 11 https://doi.org/10.1103/PhysRevD.79.115003	journal	June 2009
Dynamical breaking of supersymmetry Witten, Edward Nuclear Physics B, Vol. 188, Issue 3 https://doi.org/10.1016/0550-3213(81)90006-7	journal	October 1981
Quantum superconformal model in (1, 2) space Akulov, V. P.; Pashnev, A. I. Theoretical and Mathematical Physics, Vol. 56, Issue 3 https://doi.org/10.1007/BF01086252	journal	September 1983
Superconformal quantum mechanics Fubini, S.; Rabinovici, E. Nuclear Physics B, Vol. 245 https://doi.org/10.1016/0550-3213(84)90422-X	journal	January 1984
Supersymmetry and quantum mechanics Cooper, Fred; Khare, Avinash; Sukhatme, Uday Physics Reports, Vol. 251, Issue 5-6 https://doi.org/10.1016/0370-1573(94)00080-M	journal	January 1995
The Higgs oscillator on the hyperbolic plane and light-front holography Pallares-Rivera, A.; Kirchbach, M. Advanced Studies in Theoretical Physics, Vol. 9 https://doi.org/10.12988/astp.2015.411145	journal	January 2015
Quantum chromodynamics and other field theories on the light cone Brodsky, S. Physics Reports, Vol. 301, Issue 4-6 https://doi.org/10.1016/S0370-1573(97)00089-6	journal	August 1998
On confinement in a light-cone Hamiltonian for QCD Pauli, H. C. The European Physical Journal C, Vol. 7, Issue 2 https://doi.org/10.1007/s100529800994	journal	February 1999
Gauge∕Gravity Duality and Hadron Physics at the Light-Front de Téramond, Guy F.; Brodsky, Stanley J.; Nielsen, Marina XI HADRON PHYSICS, AIP Conference Proceedings https://doi.org/10.1063/1.3523157	conference	January 2010
Stability in gauged extended supergravity Breitenlohner, Peter; Freedman, Daniel Z. Annals of Physics, Vol. 144, Issue 2 https://doi.org/10.1016/0003-4916(82)90116-6	journal	December 1982
Supersymmetric Analysis for the Dirac Equation with Spin-Symmetric and Pseudo-Spin-Symmetric Interactions Hall, Richard L.; YeŞIltaŞ, ÖZlem International Journal of Modern Physics E, Vol. 19, Issue 10 https://doi.org/10.1142/S0218301310016417	journal	October 2010
On a Theory of Particles with Half-Integral Spin Rarita, William; Schwinger, Julian Physical Review, Vol. 60, Issue 1 https://doi.org/10.1103/PhysRev.60.61	journal	July 1941
Dilaton in a soft-wall holographic approach to mesons and baryons Gutsche, Thomas; Lyubovitskij, Valery E.; Schmidt, Ivan Physical Review D, Vol. 85, Issue 7 https://doi.org/10.1103/PhysRevD.85.076003	journal	April 2012
Baryon spectroscopy Klempt, Eberhard; Richard, Jean-Marc Reviews of Modern Physics, Vol. 82, Issue 2 https://doi.org/10.1103/RevModPhys.82.1095	journal	April 2010
All possible generators of supersymmetries of the S-matrix Haag, Rudolf; Łopuszański, Jan T.; Sohnius, Martin Nuclear Physics B, Vol. 88, Issue 2 https://doi.org/10.1016/0550-3213(75)90279-5	journal	March 1975
Membrane quantum mechanics Okazaki, Tadashi Nuclear Physics B, Vol. 890 https://doi.org/10.1016/j.nuclphysb.2014.11.024	journal	January 2015
Review of Particle Physics Olive, K. A. Chinese Physics C, Vol. 38, Issue 9 https://doi.org/10.1088/1674-1137/38/9/090001	journal	August 2014
Linear square-mass trajectories of radially and orbitally excited hadrons in holographic QCD Forkel, Hilmar; Frederico, Tobias; Beyer, Michael Journal of High Energy Physics, Vol. 2007, Issue 07 https://doi.org/10.1088/1126-6708/2007/07/077	journal	July 2007
Diquark correlations in baryon spectroscopy and holographic QCD Forkel, Hilmar; Klempt, Eberhard Physics Letters B, Vol. 679, Issue 1 https://doi.org/10.1016/j.physletb.2009.07.008	journal	August 2009
On a New Treatment of Some Eigenvalue Problems Infeld, L. Physical Review, Vol. 59, Issue 9 https://doi.org/10.1103/PhysRev.59.737	journal	May 1941
The Factorization Method Infeld, L.; Hull, T. E. Reviews of Modern Physics, Vol. 23, Issue 1 https://doi.org/10.1103/RevModPhys.23.21	journal	January 1951
Review of Particle Physics Group, Particle Data; Amsler, C.; Doser, M. Elsevier https://doi.org/10.5167/uzh-11249	text	January 2008
The Factorization Method Cakoni, Fioralba; Colton, David Qualitative Methods in Inverse Scattering Theory: An Introduction https://doi.org/10.1007/3-540-31230-7_7	book	January 2006
Conformal invariance in perturbation theory Parisi, G. https://doi.org/10.15161/oar.it/1447936450.56	text	January 1972
Review of Particle Physics Tanabashi, M.; Hagiwara, K.; Hikasa, K. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2018-03100	text	January 2018
Review of Particle Physics Beringer, J.; Arguin, J.; Barnett, R. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/phppubdb-24149	text	January 2012
Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics Brodsky, Stanley J.; Shrock, Robert arXiv https://doi.org/10.48550/arxiv.0806.1535	text	January 2008
Light-Front Holography: A First Approximation to QCD de Teramond, Guy F.; Brodsky, Stanley J. arXiv https://doi.org/10.48550/arxiv.0809.4899	text	January 2008
Diquark correlations in baryon spectroscopy and holographic QCD Forkel, Hilmar; Klempt, Eberhard arXiv https://doi.org/10.48550/arxiv.0810.2959	text	January 2008
Baryon spectroscopy Klempt, Eberhard; Richard, Jean-Marc arXiv https://doi.org/10.48550/arxiv.0901.2055	text	January 2009
Nonperturbative QCD Coupling and its $β$ function from Light-Front Holography Brodsky, Stanley J.; de Téramond, Guy F.; Deur, Alexandre arXiv https://doi.org/10.48550/arxiv.1002.3948	text	January 2010
Gauge/Gravity Duality and Hadron Physics at the Light-Front de Teramond, Guy F.; Brodsky, Stanley J. arXiv https://doi.org/10.48550/arxiv.1006.2431	text	January 2010
Supersymmetric analysis for the Dirac equation with spin-symmetric and pseudo-spin-symmetric interactions Hall, Richard L.; Yesiltas, Ozlem arXiv https://doi.org/10.48550/arxiv.1006.4628	text	January 2010
Dilaton in a soft-wall holographic approach to mesons and baryons Gutsche, Thomas; Lyubovitskij, Valery E.; Schmidt, Ivan arXiv https://doi.org/10.48550/arxiv.1108.0346	text	January 2011
Effective confining potentials for QCD Trawiński, Arkadiusz P.; Głazek, Stanisław D.; Brodsky, Stanley J. arXiv https://doi.org/10.48550/arxiv.1403.5651	text	January 2014
The Uses of Conformal Symmetry in QCD Braun, V. M.; Korchemsky, G. P.; Mueller, D. arXiv https://doi.org/10.48550/arxiv.hep-ph/0306057	text	January 2003
Supersymmetry and Quantum Mechanics Cooper, Fred; Khare, Avinash; Sukhatme, Uday arXiv https://doi.org/10.48550/arxiv.hep-th/9405029	text	January 1994
Gauge Theory Correlators from Non-Critical String Theory Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M. arXiv https://doi.org/10.48550/arxiv.hep-th/9802109	text	January 1998
Anti De Sitter Space And Holography Witten, Edward arXiv https://doi.org/10.48550/arxiv.hep-th/9802150	text	January 1998

Cited By (15)

Supersymmetric Properties of Hadron Physics from Light-Front Holography and Superconformal Algebra and other Advances in Light-Front QCD Brodsky, Stanley J. Few-Body Systems, Vol. 59, Issue 3 https://doi.org/10.1007/s00601-018-1342-6	journal	March 2018
The QCD Running Coupling at All Scales and the Connection Between Hadron Masses and $$\varvec{\varLambda _s}$$ Λ s Deur, A. Few-Body Systems, Vol. 59, Issue 6 https://doi.org/10.1007/s00601-018-1463-y	journal	November 2018
Determination of ${{\rm{\Lambda }}}_{\overline{{\rm{MS}}}}$ at five loops from holographic QCD Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F. Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 10 https://doi.org/10.1088/1361-6471/aa888a	journal	September 2017
The spin structure of the nucleon Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F. Reports on Progress in Physics, Vol. 82, Issue 7 https://doi.org/10.1088/1361-6633/ab0b8f	journal	June 2019
Family of dilatons and metrics for AdS/QCD models Vega, Alfredo; Cabrera, Paulina Physical Review D, Vol. 93, Issue 11 https://doi.org/10.1103/physrevd.93.114026	journal	June 2016
Schwinger’s proper time and worldline holographic renormalization Dietrich, Dennis D.; Koenigstein, Adrian Physical Review D, Vol. 95, Issue 7 https://doi.org/10.1103/physrevd.95.076021	journal	April 2017
Fermions in worldline holography Dietrich, Dennis D.; Koenigstein, Adrian Physical Review D, Vol. 96, Issue 5 https://doi.org/10.1103/physrevd.96.056022	journal	September 2017
The spin structure of the nucleon Kabuss, Eva-Maria Czechoslovak Journal of Physics, Vol. 55, Issue S1 https://doi.org/10.1007/bf03031986	journal	January 2005
Meson/Baryon/Tetraquark Supersymmetry from Superconformal Algebra and Light-Front Holography J. Brodsky, Stanley; F. de Téramond, Guy; Günter Dosch, Hans Conference on New Physics at the Large Hadron Collider https://doi.org/10.1142/9789813145504_0009	conference	December 2016
The spin structure of the nucleon Bass, S. D.; Thomas, A. W. Progress in Particle and Nuclear Physics, Vol. 33 https://doi.org/10.1016/0146-6410(94)90048-5	journal	January 1994
The Spin Structure of the Nucleon: Proceeding of International School of Nucleon Structure: 1st Course Frois, B.; Hughes, V. W.; de Groot, N. International School of Nucleon Structure, The Spin Structure of the Nucleon https://doi.org/10.1142/9789814529051	conference	April 2017
Family of dilatons and metrics for AdS/QCD models Vega, Alfredo; Cabrera, Paulina arXiv https://doi.org/10.48550/arxiv.1601.05999	text	January 2016
Fermions in worldline holography Dietrich, Dennis D.; Koenigstein, Adrian arXiv https://doi.org/10.48550/arxiv.1702.06955	text	January 2017
Universality of Generalized Parton Distributions in Light-Front Holographic QCD de Teramond, Guy F.; Liu, Tianbo; Sufian, Raza Sabbir arXiv https://doi.org/10.48550/arxiv.1801.09154	text	January 2018
Nonperturbative strange-quark sea from lattice QCD, light-front holography, and meson-baryon fluctuation models Sufian, Raza Sabbir; Liu, Tianbo; de Téramond, Guy F. arXiv https://doi.org/10.48550/arxiv.1809.04975	text	January 2018

Similar Records

Light-front holography and superconformal quantum mechanics: A new approach to hadron structure and color confinement

Conference · · International Journal of Modern Physics: Conference Series · OSTI ID:1165918

Brodsky, Stanley J.; Deur, Alexandre; de Téramond, Guy F.; +1 more

Superconformal Baryon-Meson Symmetry and Light-Front Holographic QCD

Journal Article · Fri Apr 10 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology · OSTI ID:1165918

Dosch, Hans Guenter; de Teramond, Guy F.; Brodsky, Stanley J.

Hadronic superpartners from a superconformal and supersymmetric algebra

Journal Article · Mon Jun 04 00:00:00 EDT 2018 · Physical Review. D. · OSTI ID:1165918

Nielsen, Marina; Brodsky, Stanley J.

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Phenomenology-HEP
Theory-HEP
HEPPH
HEPTH

Title: Baryon spectrum from superconformal quantum mechanics and its light-front holographic embedding

Citation Formats

References (54)

Cited By (15)

Similar Records

Related Subjects