Anomalous chiral transport with vorticity and torsion: Cancellation of two mixed gravitational anomaly currents in rotating chiral $p+ip$ Weyl condensates

Nissinen, J.; Volovik, G. E.

doi:10.48550/arxiv.2111.08639

Cited by 2 publications

(2 citation statements)

References 74 publications

(133 reference statements)

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“…Such cancellation of the currents generated by two different mixed gravitational anomalies in rotating chiral liquid under the full equilibrium was found in Ref. [77]. This supports the Bloch theorem on the absence of the total current in equilibrium, see also Refs.…”

Section: De Sitter Contribution To Chiral Anomalysupporting

confidence: 84%

Thermodynamics and Decay of de Sitter Vacuum

Volovik

2024

Preprint

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We discuss the consequences of the unique symmetry of the de Sitter spacetime. This symmetry leads to the specific thermodynamic properties of the de Sitter vacuum, which produces the thermal bath for matter. The de Sitter spacetime is invariant under the modified translations, ${\bf r}\rightarrow {\bf r} -e^{Ht}{\bf a}$, where $H$ is the Hubble parameter. For $H\rightarrow 0$, this symmetry corresponds to the conventional invariance of Minkowski spacetime under translations ${\bf r}\rightarrow {\bf r} -{\bf a}$. Due to this symmetry, all the comoving observers at any point of the de Sitter space perceive the de Sitter environment as the thermal bath with temperature $T=H/\pi$, which is twice larger than the Gibbons-Hawking temperature of the cosmological horizon. This temperature does not violate the de Sitter symmetry, and thus does not require the preferred reference frame, as distinct from thermal state of matter, which violates the de Sitter symmetry. This leads to the heat exchange between gravity and matter, and to instability of de Sitter state towards the creation of matter, its further heating, and finally to the decay of the de Sitter state. The temperature $T=H/\pi$ determines different processes in the de Sitter environment, which are not possible in the Minkowski vacuum, such as the process of ionization of an atom in the de Sitter environment. This temperature also determines the local entropy of the de Sitter vacuum state, and this allows us to calculate the total entropy inside the cosmological horizon. The result reproduces the Gibbons-Hawking area law, which is related to the cosmological horizon, $S_{\rm hor}=4\pi KA$, where $K=1/16\pi G$. This supports the holographic properties of the cosmological event horizon. We extend the consideration of the local thermodynamics of the de Sitter state using the $f({\cal R})$ gravity. In this thermodynamics, the Ricci scalar curvature ${\cal R}$ and the effective gravitational coupling, $K$, are thermodynamically conjugate variables. The holographic connection between the bulk entropy of the Hubble volume, and the surface entropy of the cosmological horizon remains the same, but with the gravitational coupling $K=df/d{\cal R}$. Such connection takes place only in the $3+1$ spacetime, where there is the special symmetry due to which the variables $K$ and ${\cal R}$ have the same dimensionality. We also consider the lessons from the de Sitter symmetry for the thermodynamics of black and white holes.

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Section: De Sitter Contribution To Chiral Anomalysupporting

confidence: 84%

Thermodynamics and Decay of de Sitter Vacuum

Volovik

2024

Preprint

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“…Moreover, while in condensed matter scenarios there is a natural built-in cutoff, it is not clear what the appropriate scale might be in the case of fundamental torsion. Torsional anomalies have been widely studied in the context of solid state and fluid physics [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. In this paper we want to further this program by analyzing the consequences for transport phenomena of the Nieh-Yan contribution to the 't Hooft anomaly of the axial-vector current in four dimensions.…”

Section: Jhep03(2022)177mentioning

confidence: 99%

On Nieh-Yan transport

Valle

Vázquez-Mozo

2022

J. High Energ. Phys.

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We study nondissipative transport induced by the Nieh-Yan anomaly. After computing the torsional terms in the equilibrium partition function using transgression, we find the constitutive relations for the covariant axial-vector, heat, stress, and spin currents. A number of new transport effects are found, driven by background torsion and the spin chemical potential. Torsional constitutive relations in two-dimensional systems are also analyzed.

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Anomalous chiral transport with vorticity and torsion: Cancellation of two mixed gravitational anomaly currents in rotating chiral $p+ip$ Weyl condensates

Cited by 2 publications

References 74 publications

Thermodynamics and Decay of de Sitter Vacuum

Thermodynamics and Decay of de Sitter Vacuum

On Nieh-Yan transport

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