Artículo

Argurio, R.; Giribet, G.; Marzolla, A.; Naegels, D.; Sierra-Garcia, J.A."Holographic Ward identities for symmetry breaking in two dimensions" (2017) Journal of High Energy Physics. 2017(4)
Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We investigate symmetry breaking in two-dimensional field theories which have a holographic gravity dual. Being at large N, the Coleman theorem does not hold and Goldstone bosons are expected. We consider the minimal setup to describe a conserved current and a charged operator, and we perform holographic renormalization in order to find the correct Ward identities describing symmetry breaking. This involves some subtleties related to the different boundary conditions that a vector can have in the three-dimensional bulk. We establish which is the correct prescription that yields, after renormalization, the same Ward identities as in higher dimensions. © 2017, The Author(s).

Registro:

Documento: Artículo
Título:Holographic Ward identities for symmetry breaking in two dimensions
Autor:Argurio, R.; Giribet, G.; Marzolla, A.; Naegels, D.; Sierra-Garcia, J.A.
Filiación:Physique Théorique et Mathématique and International Solvay Institutes, Université Libre de Bruxelles, C.P. 231, Brussels, 1050, Belgium
Martin Fisher School of Physics, Brandeis University, Waltham, MA 02453, United States
Physics Department, University of Buenos Aires FCEN-UBA and IFIBA-CONICET, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
Department of Particle Physics and IGFAE, University of Santiago de Compostela, Santiago de Compostela, E-15782, Spain
Palabras clave:AdS-CFT Correspondence; Field Theories in Lower Dimensions; Spontaneous Symmetry Breaking
Año:2017
Volumen:2017
Número:4
DOI: http://dx.doi.org/10.1007/JHEP04(2017)007
Handle:http://hdl.handle.net/20.500.12110/paper_11266708_v2017_n4_p_Argurio
Título revista:Journal of High Energy Physics
Título revista abreviado:J. High Energy Phys.
ISSN:11266708
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2017_n4_p_Argurio

Referencias:

  • Maldacena, J.M., The large-N limit of superconformal field theories and supergravity (1999) Int. J. Theor. Phys., 38, p. 1113. , [hep-th/9711200] [INSPIRE]
  • Witten, E., Anti-de Sitter space and holography (1998) Adv. Theor. Math. Phys., 2, p. 253. , [hep-th/9802150] [INSPIRE]
  • Gubser, S.S., Klebanov, I.R., Polyakov, A.M., Gauge theory correlators from noncritical string theory (1998) Phys. Lett., B 428, p. 105. , [hep-th/9802109] [INSPIRE]
  • Klebanov, I.R., Witten, E., AdS/CFT correspondence and symmetry breaking (1999) Nucl. Phys., B 556, p. 89. , [hep-th/9905104] [INSPIRE]
  • Bianchi, M., Freedman, D.Z., Skenderis, K., How to go with an RG flow (2001) JHEP, 8, p. 041. , [hep-th/0105276] [INSPIRE]
  • Bianchi, M., Freedman, D.Z., Skenderis, K., Holographic renormalization (2002) Nucl. Phys., B 631, p. 159. , [hep-th/0112119] [INSPIRE]
  • Goldstone, J., Salam, A., Weinberg, S., Broken Symmetries (1962) Phys. Rev., 127, p. 965. , [INSPIRE]
  • Coleman, S.R., There are no Goldstone bosons in two-dimensions (1973) Commun. Math. Phys., 31, p. 259
  • Ma, S.-K., Rajaraman, R., Comments on the Absence of Spontaneous Symmetry Breaking in Low Dimensions (1975) Phys. Rev., 500, p. 1701. , [INSPIRE]
  • Mermin, N.D., Wagner, H., Absence of ferromagnetism or antiferromagnetism in one-dimensional or two-dimensional isotropic Heisenberg models (1966) Phys. Rev. Lett., 17, p. 1133. , [INSPIRE]
  • Hohenberg, P.C., Existence of Long-Range Order in One and Two Dimensions (1967) Phys. Rev., 158, p. 383. , [INSPIRE]
  • Coleman, S.R., Jackiw, R., Politzer, H.D., Spontaneous Symmetry Breaking in the O(N) Model for Large N (1974) Phys. Rev., 500, p. 2491. , [INSPIRE]
  • Gross, D.J., Neveu, A., Dynamical Symmetry Breaking in Asymptotically Free Field Theories (1974) Phys. Rev., 500, p. 3235. , [INSPIRE]
  • Witten, E., Chiral Symmetry, the 1/n Expansion, and the SU(N) Thirring Model (1978) Nucl. Phys., B 145, p. 110
  • Anninos, D., Hartnoll, S.A., Iqbal, N., Holography and the Coleman-Mermin-Wagner theorem (2010) Phys. Rev., 500, p. 066008. , [arXiv:1005.1973] [INSPIRE]
  • Marolf, D., Ross, S.F., Boundary Conditions and New Dualities: Vector Fields in AdS/CFT (2006) JHEP, 11, p. 085. , [hep-th/0606113] [INSPIRE]
  • Breitenlohner, P., Freedman, D.Z., Stability in Gauged Extended Supergravity (1982) Annals Phys., 144, p. 249
  • Faulkner, T., Iqbal, N., Friedel oscillations and horizon charge in 1D holographic liquids (2013) JHEP, 7, p. 060. , [arXiv:1207.4208] [INSPIRE]
  • Andrade, T., Jottar, J.I., Leigh, R.G., Boundary Conditions and Unitarity: the Maxwell-Chern-Simons System in AdS3/CF T2 (2012) JHEP, 5, p. 071. , [arXiv:1111.5054] [INSPIRE]
  • Gross, D.J., Klebanov, I.R., Matytsin, A.V., Smilga, A.V., Screening versus confinement in (1+1)-dimensions (1996) Nucl. Phys., B 461, p. 109. , [hep-th/9511104] [INSPIRE]
  • Minces, P., Rivelles, V.O., Scalar field theory in the AdS/CFT correspondence revisited (2000) Nucl. Phys., B 572, p. 651. , [hep-th/9907079] [INSPIRE]
  • Giveon, A., Kutasov, D., Seiberg, N., Comments on string theory on AdS3 (1998) Adv. Theor. Math. Phys., 2, p. 733. , [hep-th/9806194] [INSPIRE]
  • Bertolini, M., Musso, D., Papadimitriou, I., Raj, H., A goldstino at the bottom of the cascade (2015) JHEP, 11, p. 184. , [arXiv:1509.03594] [INSPIRE]
  • Argurio, R., Marzolla, A., Mezzalira, A., Musso, D., Analytic pseudo-Goldstone bosons (2016) JHEP, 3, p. 012. , [arXiv:1512.03750] [INSPIRE]
  • Cvetič, M., Papadimitriou, I., AdS 2 holographic dictionary (2016) JHEP, 12, p. 8
  • Cvetič, M., Papadimitriou, I., AdS 2 holographic dictionary (2017), 1, p. 120; Erdmenger, J., Hoyos, C., O’Bannon, A., Papadimitriou, I., Probst, J., Wu, J.M.S., Two-point Functions in a Holographic Kondo Model (2017) JHEP, 3, p. 039. , [arXiv:1612.02005] [INSPIRE]
  • Gell-Mann, M., Oakes, R.J., Renner, B., Behavior of current divergences under SU(3) × SU(3) (1968) Phys. Rev., 175, p. 2195. , [INSPIRE]

Citas:

---------- APA ----------
Argurio, R., Giribet, G., Marzolla, A., Naegels, D. & Sierra-Garcia, J.A. (2017) . Holographic Ward identities for symmetry breaking in two dimensions. Journal of High Energy Physics, 2017(4).
http://dx.doi.org/10.1007/JHEP04(2017)007
---------- CHICAGO ----------
Argurio, R., Giribet, G., Marzolla, A., Naegels, D., Sierra-Garcia, J.A. "Holographic Ward identities for symmetry breaking in two dimensions" . Journal of High Energy Physics 2017, no. 4 (2017).
http://dx.doi.org/10.1007/JHEP04(2017)007
---------- MLA ----------
Argurio, R., Giribet, G., Marzolla, A., Naegels, D., Sierra-Garcia, J.A. "Holographic Ward identities for symmetry breaking in two dimensions" . Journal of High Energy Physics, vol. 2017, no. 4, 2017.
http://dx.doi.org/10.1007/JHEP04(2017)007
---------- VANCOUVER ----------
Argurio, R., Giribet, G., Marzolla, A., Naegels, D., Sierra-Garcia, J.A. Holographic Ward identities for symmetry breaking in two dimensions. J. High Energy Phys. 2017;2017(4).
http://dx.doi.org/10.1007/JHEP04(2017)007