Mesons in gauge/gravity duals

Springer Science and Business Media LLC - Tập 35 - Trang 81-133 - 2008
J. Erdmenger1, N. Evans2,3, I. Kirsch4, E. J. Threlfall2
1Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), München, Germany
2School of Physics and Astronomy, Southampton University, Southampton, UK
3Isaac Newton Institute for Mathematical Sciences, Cambridge, UK
4Institut für Theoretische Physik, ETH Zürich, Zürich, Switzerland

Tóm tắt

We review recent progress in studying mesons within gauge/gravity duality, in the context of adding flavour degrees of freedom to generalizations of the AdS/CFT correspondence. Our main focus is on the “top-down approach” of considering models constructed within string theory. We explain the string-theoretical constructions in detail, aiming at non-specialists. These give rise to a new way of describing strongly coupled confining large-N gauge theories similar to large-N QCD. In particular, we consider gravity dual descriptions of spontaneous chiral symmetry breaking, and compare with lattice results. A further topic covered is the behaviour of flavour bound states in finite-temperature field theories dual to a gravity background involving a black hole. We also describe the “bottom up” phenomenological approach to mesons within AdS/QCD. Some previously unpublished results are also included.

Tài liệu tham khảo

B. Zwiebach, A First Course in String Theory (University Press, Cambridge, UK, 2004) p. 558.

E. Kiritsis, String Theory in a Nutshell (University Press, Princeton, USA, 2007) p. 588.

K. Becker, M. Becker, J.H. Schwarz, String Theory and $M$-theory: A Modern Introduction (Cambridge University Press, Cambridge, UK, 2007) p. 739.

M.B. Green, J.H. Schwarz, E. Witten, Superstring Theory, Cambridge Monogr. Math. Phys., Vol. 1: Introduction (University Press, Cambridge, UK, 1987) p. 469.

J. Polchinski, String Theory, Vol. 1: An introduction to the bosonic string (University Press, Cambridge, UK, 1998) p. 402.

T. DeGrand, C. DeTar, Lattice Methods for Quantum Chromodynamics (World Scientific, NJ, 2006) p. 345.

M. Creutz, Quarks, Gluons and Lattices, Cambridge Monogr. Math. Phys. (University Press, Cambridge, UK, 1983) p. 169.

J. Polchinski, Lectures on D-branes, arXiv:hep-th/9611050.

C.V. Johnson, D-branes (University Press, Cambridge, UK, 2003) p. 548.

M. Kruczenski, D. Mateos, R.C. Myers, D.J. Winters, Meson spectroscopy in AdS/CFT with flavour, JHEP 07, 049 (2003) arXiv:hep-th/0304032.

G. Bali, F. Bursa, Meson masses at large $N_c$, arXiv: 0708.3427 [hep-lat].

L. Del Debbio, B. Lucini, A. Patella, C. Pica, Quenched mesonic spectrum at large $N$, arXiv:0712.3036 [hep-th].

M. Kruczenski, D. Mateos, R.C. Myers, D.J. Winters, Towards a holographic dual of large-$N(c)$ QCD, JHEP 05, 041 (2004) arXiv:hep-th/0311270.

K. Ghoroku, M. Ishihara, A. Nakamura, Flavor quarks in $AdS(4)$ and gauge/gravity correspondence, Phys. Rev. D 75, 046005 (2007), arXiv:hep-th/0612244.

V.G. Filev, C.V. Johnson, R.C. Rashkov, K.S. Viswanathan, Flavoured large $N$ gauge theory in an external magnetic field, arXiv:hep-th/0701001.

O. Aharony, A. Fayyazuddin, J.M. Maldacena, The large $N$ limit of $N=2,1$ field theories from three- branes in $F$-theory, JHEP 07, 013 (1998) arXiv:hep-th/9806159.

E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2, 253 (1998) arXiv:hep-th/9802150.

T. Albash, V. Filev, C.V. Johnson, A. Kundu, A topology-changing phase transition and the dynamics of flavour, arXiv:hep-th/0605088.

E. D'Hoker, D.Z. Freedman, Supersymmetric gauge theories and the AdS/CFT correspondence, arXiv:hep-th/0201253.

G. 't Hooft, Dimensional reduction in quantum gravity, arXiv:gr-qc/9310026.

S. Lee, S. Minwalla, M. Rangamani, N. Seiberg, Three-point functions of chiral operators in $D=4$, $N=4$ SYM at large $N$, Adv. Theor. Math. Phys. 2, 697 (1998) arXiv:hep-th/9806074.

K. Skenderis, M. Taylor, Kaluza-Klein holography, JHEP 05, 057 (2006) arXiv:hep-th/0603016.

A. Brandhuber, K. Sfetsos, An $N=2$ gauge theory and its supergravity dual, Phys. Lett. B 488, 373 (2000) arXiv:hep-th/0004148.

A. Buchel, A.W. Peet, J. Polchinski, Gauge dual and noncommutative extension of an $N=2$ supergravity solution, Phys. Rev. D 63, 044009 (2001) arXiv:hep-th/0008076.

S.S. Gubser, Dilaton-driven confinement, arXiv:hep-th/ 9902155.

J.M. Maldacena, Wilson loops in large $N$ field theories, Phys. Rev. Lett. 80, 4859 (1998) arXiv:hep-th/9803002.

D. Arean, I. Kirsch, A. Ramallo, unpublished notes (2007).

A. Karch, E. Katz, N. Weiner, Hadron masses and screening from AdS Wilson loops, Phys. Rev. Lett. 90, 091601 (2003) arXiv:hep-th/0211107.

R.C. Myers, Dielectric-branes, JHEP 12, 022 (1999) arXiv:hep-th/9910053.

I.R. Klebanov, A.A. Tseytlin, Gravity duals of supersymmetric $SU(N)\times SU(N+M)$ gauge theories, Nucl. Phys. B 578, 123 (2000) arXiv:hep-th/0002159.

T.S. Levi, P. Ouyang, Mesons and Flavor on the Conifold, arXiv:hep-th/0506021.

F. Canoura, J.D. Edelstein, A.V. Ramallo, D-brane probes on $L(a,b,c)$ superconformal field theories, JHEP 09, 038 (2006) arXiv:hep-th/0605260.

S. Penati, M. Pirrone, C. Ratti, Mesons in marginally deformed AdS/CFT, arXiv:0710.4292 [hep-th].

J.M. Maldacena, C. Nuñez, Towards the large $N$ limit of pure $N=1$ super Yang Mills, Phys. Rev. Lett. 86, 588 (2001) arXiv:hep-th/0008001.

A.H. Chamseddine, M.S. Volkov, Non-Abelian solitons in $N=4$ gauged supergravity and leading order string theory, Phys. Rev. D 57, 6242 (1998) arXiv:hep-th/9711181.

R. Casero, C. Nuñez, A. Paredes, Towards the string dual of $N=1$ SQCD-like theories, Phys. Rev. D 73, 086005 (2006) arXiv:hep-th/0602027.

A. Paredes, On unquenched $N=2$ holographic flavor, JHEP 12, 032 (2006) arXiv:hep-th/0610270.

K. Skenderis, M. Taylor, Branes in AdS and pp-wave spacetimes, JHEP 06, 025 (2002) arXiv:hep-th/0204054.

H. Georgi, Weak Interactions and Modern Particle Theory, (Benjamin/Cummings, Menlo Park, 1984) p. 165.

I. Brevik, K. Ghoroku, A. Nakamura, Meson mass and confinement force driven by dilaton, Int. J. Mod. Phys. D 15, 57 (2006) arXiv:hep-th/0505057.

J. Große, Quantum Field Theories Coupled to Supergravity: AdS/CFT and Local Couplings, PhD Thesis, Ludwig-Maximilians-Universität München (2006). urn:nbn:de:bvb:19-67614.

M. Gell-Mann, R.J. Oakes, B. Renner, Behavior of current divergences under $SU(3)\times SU(3)$, Phys. Rev. 175, 2195 (1968).

M. Kruczenski, L.A.P. Zayas, J. Sonnenschein, D. Vaman, Regge trajectories for mesons in the holographic dual of large-$N(c)$ QCD, JHEP 06, 046 (2005) arXiv:hep-th/0410035.

M. Bando, A. Sugamoto, S. Terunuma, Meson strings and flavor branes, Prog. Theor. Phys. 115, 1111 (2006) arXiv:hep-ph/0602203.

C. Vafa, E. Witten, Parity Conservation in QCD, Phys. Rev. Lett. 53, 535 (1984).

A. Basu, Higher Derivative Corrections in Holographic QCD, arXiv:0707.0081 [hep-th].

B.A. Burrington, V.S. Kaplunovsky, J. Sonnenschein, Localized Backreacted Flavor Branes in Holographic QCD, arXiv:0708.1234 [hep-th].

M. Harada, S. Matsuzaki, K. Yamawaki, Implications of holographic QCD in ChPT with hidden local symmetry, Phys. Rev. D 74, 076004 (2006) arXiv:hep-ph/0603248.

R. Heise, H.G. Svendsen, A note on fermions in holographic QCD, JHEP 08, 065 (2007) arXiv:0706.2253 [hep-th].

H. Hata, T. Sakai, S. Sugimoto, S. Yamato, Baryons from instantons in holographic QCD, arXiv:hep-th/0701280.

K. Nawa, H. Suganuma, T. Kojo, Brane-induced Skyrmions: Baryons in holographic QCD, arXiv:hep-th/ 0701007.

D.K. Hong, H.-C. Kim, S. Siwach, H.-U. Yee, The Electric Dipole Moment of the Nucleons in Holographic QCD, arXiv:0709.0314 [hep-ph].

S.K. Domokos, J.A. Harvey, Baryon number-induced Chern-Simons couplings of vector and axial-vector mesons in holographic QCD, arXiv:0704.1604 [hep-ph].

A. Imaanpur, On instantons in holographic QCD, arXiv: 0705.0496 [hep-th].

Y. Kim, C.-H. Lee, H.-U. Yee, Holographic Nuclear Matter in AdS/QCD, arXiv:0707.2637 [hep-ph].

M. Rozali, H.-H. Shieh, M. Van Raamsdonk, J. Wu, Cold Nuclear Matter in Holographic QCD, arXiv:0708.1322 [hep-th].

N. Evans, E. Threlfall, Quark Mass in the Sakai-Sugimoto Model of Chiral Symmetry Breaking, arXiv:0706.3285 [hep-th].

E. Antonyan, J.A. Harvey, S. Jensen, D. Kutasov, NJL and QCD from string theory, arXiv:hep-th/0604017.

R. Casero, E. Kiritsis, A. Paredes, Chiral symmetry breaking as open string tachyon condensation, arXiv:hep-th/0702155.

O. Bergman, S. Seki, J. Sonnenschein, Quark mass and condensate in HQCD, arXiv:0708.2839 [hep-th].

S. Kuperstein, J. Sonnenschein, Non-critical supergravity $(d>1)$ and holography, JHEP 07, 049 (2004) arXiv:hep-th/0403254.

A.L. Cotrone, On the YM and QCD spectra from five dimensional strings, arXiv:0707.1483 [hep-th].

G. Policastro, D.T. Son, A.O. Starinets, The shear viscosity of strongly coupled $N=4$ supersymmetric Yang-Mills plasma, Phys. Rev. Lett. 87, 081601 (2001) arXiv:hep-th/0104066.

E.V. Shuryak, Strongly coupled quark-gluon plasma: The status report, arXiv:hep-ph/0608177.

Z. Fodor, QCD Thermodynamics, arXiv:0711.0336 [hep-lat].

C. Hoyos, K. Landsteiner, S. Montero, Holographic meson melting, arXiv:hep-th/0612169.

P.M. Chesler, L.G. Yaffe, The wake of a quark moving through a strongly-coupled $\mathcal{N}=4$ supersymmetric Yang-Mills plasma, Phys. Rev. Lett. 99, 152001 (2007) arXiv:0706.0368 [hep-th].

S.S. Gubser, S.S. Pufu, A. Yarom, Shock waves from heavy-quark mesons in AdS/CFT, arXiv:0711.1415 [hep-th].

A. Karch, A. O'Bannon, Chiral transition of $N=4$ super Yang-Mills with flavor on a 3-sphere, Phys. Rev. D 74, 085033 (2006) arXiv:hep-th/0605120.

J. Große, R.A. Janik, P. Surowka, Flavors in an expanding plasma, arXiv:0709.3910 [hep-th].

T. Albash, V. Filev, C.V. Johnson, A. Kundu, Global currents, phase transitions, and chiral symmetry breaking in large $N(c)$ gauge theory, arXiv:hep-th/0605175.

S. Nakamura, Y. Seo, S.-J. Sin, K.P. Yogendran, A new phase at finite quark density from AdS/CFT, arXiv:hep-th/0611021.

D. Mateos, S. Matsuura, R.C. Myers, R.M. Thomson, Holographic phase transitions at finite chemical potential, arXiv:0709.1225 [hep-th].

O. Bergman, G. Lifschytz, M. Lippert, Holographic Nuclear Physics, arXiv:0708.0326 [hep-th].

A. Karch, A. O'Bannon, Holographic Thermodynamics at Finite Baryon Density: Some Exact Results, arXiv: 0709.0570 [hep-th].

K. Ghoroku, M. Ishihara, A. Nakamura, D3/D7 holographic Gauge theory and Chemical potential, arXiv: 0708.3706 [hep-th].

J. Erdmenger, M. Kaminski, F. Rust, Isospin diffusion in thermal AdS/CFT with flavor, Phys. Rev. D 76, 046001 (2007) arXiv:0704.1290 [hep-th].

D. Yamada, Sakai-Sugimoto Model at High Density, arXiv:0707.0101 [hep-th].

J.L. Davis, M. Gutperle, P. Kraus, I. Sachs, Stringy NJL and Gross-Neveu models at finite density and temperature, arXiv:0708.0589 [hep-th].

K.-Y. Kim, S.-J. Sin, I. Zahed, The Chiral Model of Sakai-Sugimoto at Finite Baryon Density, arXiv:0708.1469 [hep-th].

A. Parnachev, Holographic QCD with Isospin Chemical Potential, arXiv:0708.3170 [hep-th].

V.G. Filev, Criticality, Scaling and Chiral Symmetry Breaking in External Magnetic Field, arXiv:0706.3811 [hep-th].

J. Erdmenger, R. Meyer, J.P. Shock, AdS/CFT with Flavour in Electric and Magnetic Kalb-Ramond Fields, arXiv:0709.1551 [hep-th].

T. Albash, V. Filev, C.V. Johnson, A. Kundu, Finite Temperature Large $N$ Gauge Theory with Quarks in an External Magnetic Field, arXiv:0709.1547 [hep-th].

T. Albash, V. Filev, C.V. Johnson, A. Kundu, Quarks in an External Electric Field in Finite Temperature Large $N$ Gauge Theory, arXiv:0709.1554 [hep-th].

M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, QCD and Resonance Physics. Sum Rules, Nucl. Phys. B 147, 385 (1979).

T. Hambye, B. Hassanain, J. March-Russell, M. Schvellinger, On the $\Delta(I)=1/2$ rule in holographic QCD, Phys. Rev. D 74, 026003 (2006) arXiv:hep-ph/0512089.

S.J. Brodsky, G.F. de Teramond, Light-Front Dynamics and AdS/QCD: The Pion Form Factor in the Space- and Time-Like Regions, arXiv:0707.3859 [hep-ph].

H.R. Grigoryan, A.V. Radyushkin, Pion Form Factor in Chiral Limit of Hard-Wall AdS/QCD Model, arXiv:0709.0500 [hep-ph].

E. Nakano, S. Teraguchi, W.-Y. Wen, Drag Force, Jet Quenching, and AdS/QCD, Phys. Rev. D 75, 085016 (2007) arXiv:hep-ph/0608274.

K. Kajantie, T. Tahkokallio, J.-T. Yee, Thermodynamics of AdS/QCD, JHEP 01, 019 (2007) arXiv:hep-ph/0609254.

Y. Kim, S.-J. Sin, K.H. Jo, H.K. Lee, Vector Susceptibility and Chiral Phase Transition in AdS/QCD Models, arXiv:hep-ph/0609008.

K.-I. Kim, Y. Kim, S.H. Lee, Isospin matter in AdS/ QCD, arXiv:0709.1772 [hep-ph].

J. Hirn, V. Sanz, A negative S parameter from holographic technicolor, Phys. Rev. Lett. 97, 121803 (2006) arXiv:hep-ph/0606086.

M. Piai, Precision electro-weak parameters from $AdS(5)$, localized kinetic terms and anomalous dimensions, arXiv: hep-ph/0608241.

P. Masjuan, S. Peris, A rational approach to resonance saturation in large-$Nc$ QCD, JHEP 05, 040 (2007) arXiv:0704.1247 [hep-ph].

M. Shifman, A. Vainshtein, Highly Excited Mesons, Linear Regge Trajectories and the Pattern of the Chiral Symmetry Realization, arXiv:0710.0863 [hep-ph].

M. Huang, Q.-S. Yan, Y. Yang, Confront Holographic QCD with Regge Trajectories, arXiv:0710.0988 [hep-ph].

E. Shuryak, A ``Domain wall'' Scenario for the AdS/ QCD, arXiv:0711.0004 [hep-ph].

U. Gürsoy, E. Kiritsis, Exploring improved holographic theories for QCD: Part I, arXiv:0707.1324 [hep-th].

U. Gürsoy, E. Kiritsis, F. Nitti, Exploring improved holographic theories for QCD: Part II, arXiv:0707.1349 [hep-th].

H.R. Grigoryan, Dimension Six Correction to the Vector Sector of AdS/QCD Model, arXiv:0709.0939 [hep-ph].

O. Aharony, The non-AdS/non-CFT correspondence, or three different paths to QCD, arXiv:hep-th/0212193.

D. Rodriguez-Gomez, Holographic flavor in theories with eight supercharges, Int. J. Mod. Phys. A 22, 4717 (2007) arXiv:0710.4471 [hep-th].

K. Peeters, M. Zamaklar, The string/gauge theory correspondence in QCD, arXiv:0708.1502 [hep-ph].

D. Mateos, String Theory and Quantum Chromodynamics, arXiv:0709.1523 [hep-th].