Goldstone bosons in presence of charge density

Brauner, Tomáš

doi:10.1103/physrevd.75.105014

Cited by 14 publications

(23 citation statements)

References 26 publications

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“…[43] there are in fact only three Goldstone bosons, with two of them having a quadratic dispersion relation, in agreement with the Nielsen-Chadha theorem [44]. This abnormal number of Goldstone bosons can be related to the nonzero color charge [43,45,46], which arises in the 2SC phase as a consequence of the fact that only red and green quarks are paired. (In QCD, the 2SC phase is always color neutralized by the background gluon field [47].…”

Section: Meson and Diquark Spectra And Their Mixing In The 2sc Phasementioning

confidence: 64%

Generalized Beth–Uhlenbeck approach to mesons and diquarks in hot, dense quark matter

et al. 2014

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An important first step in the program of hadronization of chiral quark models is the bosonization in meson and diquark channels. This procedure is presented at finite temperatures and chemical potentials for the SU(2) flavor case of the NJL model with special emphasis on the mixing between scalar meson and scalar diquark modes which occurs in the 2SC color superconducting phase. The thermodynamic potential is obtained in the gaussian approximation for the meson and diquark fields and it is given the Beth-Uhlenbeck form. This allows a detailed discussion of bound state dissociation in hot, dense matter (Mott effect) in terms of the in-medium scattering phase shift of two-particle correlations. It is shown for the case without meson-diquark mixing that the phase shift can be separated into a continuum and a resonance part. In the latter, the Mott transition manifests itself by a change of the phase shift at threshold by π in accordance with Levinson's theorem, when a bound state transforms to a resonance in the scattering continuum. The consequences for the contribution of pionic correlations to the pressure are discussed by evaluating the Beth-Uhlenbeck equation of state in different approximations. A similar discussion is performed for the scalar diquark channel in the normal phase. Further developments and applications of the developed approach are outlined.

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Section: Meson and Diquark Spectra And Their Mixing In The 2sc Phasementioning

confidence: 64%

Generalized Beth–Uhlenbeck approach to mesons and diquarks in hot, dense quark matter

et al. 2014

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“…In this Appendix, we clarify a confusion on discrete symmetries in the existing literature [74,75]. Contrary to the claim made in these references, we argue that type-B NGBs can appear without breaking any discrete symmetries such as the time-reversal symmetry (TRS).…”

Section: Approach 2: Gauging Hmentioning

confidence: 72%

Effective Lagrangian for Nonrelativistic Systems

2014

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The effective Lagrangian for Nambu-Goldstone bosons (NGBs) in systems without Lorentz invariance has a novel feature that some of the NGBs are canonically conjugate to each other, hence describing 1 dynamical degree of freedom by two NGB fields. We develop explicit forms of their effective Lagrangian up to the quadratic order in derivatives. We clarify the counting rules of NGB degrees of freedom and completely classify possibilities of such canonically conjugate pairs based on the topology of the coset spaces. Its consequence on the dispersion relations of the NGBs is clarified. We also present simple scaling arguments to see whether interactions among NGBs are marginal or irrelevant, which justifies a lore in the literature about the possibility of symmetry breaking in 1 þ 1 dimensions.

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“…In practical terms, the Ward identities for broken symmetries [15] establish the existence of massless modes generated by the broken currents. Moreover in the non-relativistic case, when commutators of broken generators have VEVs, it can be shown that some of these massless modes must have quadratic dispersion relations [16]. By carefully performing the procedure of obtaining the renormalized action of the holographic model, we will show that such Ward identities are exactly reproduced.…”

Section: Introductionmentioning

confidence: 91%

“…We thus deduce the presence of massless poles in all of these correlators. This additional Ward identity, which defines [3] type B Goldstone bosons, requires the dispersion relation to be quadratic [16], with the following argument.…”

Section: (35)mentioning

confidence: 99%

Note on holographic nonrelativistic Goldstone bosons

et al. 2015

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We consider a holographic setup where relativistic invariance is broken by a chemical potential, and a non-Abelian internal symmetry is broken spontaneously. We use the tool of holographic renormalization in order to infer what can be learned purely by analytic boundary considerations. We find that the expected Ward identities are correctly reproduced. In particular, we obtain the identity which implies the noncommutation of a pair of broken charges, which leads to the presence of Goldstone bosons with quadratic dispersion relations.

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Goldstone bosons in presence of charge density

Cited by 14 publications

References 26 publications

Generalized Beth–Uhlenbeck approach to mesons and diquarks in hot, dense quark matter

Generalized Beth–Uhlenbeck approach to mesons and diquarks in hot, dense quark matter

Effective Lagrangian for Nonrelativistic Systems

Note on holographic nonrelativistic Goldstone bosons

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