Three-dimensional Gross-Neveu model at nonzero temperature and in an external magnetic field

Klimenko, K. G.

doi:10.1007/bf01018812

Cited by 167 publications

(179 citation statements)

References 2 publications

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“…We first notice that the critical temperature increases with the magnetic field for small values of the chemical potential µ. The basic mechanism is that of magnetic catalysis [51][52][53], namely that the chiral condensate increases as a function of the magnetic field. It is interesting to note that the increase of the transition temperature as a function of B is smaller when we couple the chiral sector to the gluonic sector.…”

Section: Results At Finite Magnetic Fieldmentioning

confidence: 99%

Chiral and deconfinement transitions in a magnetic background using the functional renormalization group with the Polyakov loop

Andersen

Naylor

Tranberg

2014

J. High Energ. Phys.

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We use the Polyakov loop coupled quark-meson model to approximate low energy QCD and present results for the chiral and deconfinement transitions in the presence of a constant magnetic background B at finite temperature T and baryon chemical potential µ B . We investigate effects of various gluonic potentials on the deconfinement transition with and without a fermionic backreaction at finite B. Additionally we investigate the effect of the Polyakov loop on the chiral phase transition, finding that magnetic catalysis at low µ B is present, but weakened by the Polyakov loop.

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Section: Results At Finite Magnetic Fieldmentioning

confidence: 99%

Chiral and deconfinement transitions in a magnetic background using the functional renormalization group with the Polyakov loop

Andersen

Naylor

Tranberg

2014

J. High Energ. Phys.

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“…This suggests that the global symmetry corresponding to rotations in the transverse space to the D5-branes is spontaneously broken. In this way our system realises the effect of magnetic catalysis of chiral symmetry breaking confirming the universal nature of this phenomena [9][10][11][12][13][14]. 2 The paper is organised as follows: in section 2 we review the properties of the theory at zero magnetic field studied in refs.…”

Section: Jhep08(2014)105mentioning

confidence: 99%

“…Therefore our system realises the effect of magnetic catalysis of spontaneous symmetry breaking [9][10][11][12][13][14]. Figure 5.…”

Section: Jhep08(2014)105mentioning

confidence: 99%

“…In our considerations we will keep the radius of the two sphere fixed. The variation of the free energy density is then given by: 14) where M is the magnetisation of the theory and H phys = H/(2πα ) is the physical magnetic field.…”

Section: Critical Behaviourmentioning

confidence: 99%

“…We observe that if one restricts the fluctuations to the "S-mode" by suppressing the angular momentum of the two sphere, the equations of motion for the fluctuations along χ decouple from those of the gauge field. To find the bound states we consider a consistent ansatz: 13) and solve numerically the resulting second order equation for h χ (r). One can show that the general solution for h χ (r) at infinity behaves as:…”

Section: Jhep08(2014)105mentioning

confidence: 99%

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A quantum critical point from flavours on a compact space

Filev

2014

J. High Energ. Phys.

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We analyse a 2 + 1 dimensional defect field theory on a two sphere in an external magnetic field. The theory is holographically dual to probe D5-branes in global AdS 5 × S 5 background. At any finite magnetic field only the confined phase of the theory is realised. There is a first order quantum phase transition, within the confined phase of theory, ending on a quantum critical point of a second order phase transition. We analyse the condensate and magnetisation of theory and construct its phase diagram. We study the critical exponents near the quantum critical point and find that the second derivatives of the free energy, with respect to the bare mass and the magnetic field, diverge with a critical exponent of −2/3. Next, we analyse the meson spectrum of the theory and identify a massless mode at the critical point signalling a diverging correlation length of the quantum fluctuations. We find that the derivative of the meson mass with respect to the bare mass also diverges with a critical exponent of −2/3. Finally, our studies of the magnetisation uncover a persistent diamagnetic response similar to that in mesoscopic systems, such as quantum dots and nano tubes.

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Phase Transitions in QCD

Ratti

Bellwied

2020

Lecture Notes in Physics

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Three-dimensional Gross-Neveu model at nonzero temperature and in an external magnetic field

Cited by 167 publications

References 2 publications

Chiral and deconfinement transitions in a magnetic background using the functional renormalization group with the Polyakov loop

Chiral and deconfinement transitions in a magnetic background using the functional renormalization group with the Polyakov loop

A quantum critical point from flavours on a compact space

Phase Transitions in QCD

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