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Acceleration as refrigeration: Acceleration-induced spontaneous symmetry breaking in thermal medium
High Energy Physics - Theory · Submitted 27 Jan 2025
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We argue that a uniform acceleration of matter produces an effect similar to cooling, thus leading, in particular, to the enhancement effect of spontaneous symmetry breaking.
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The abstract, sentence by sentence
We argue that a uniform acceleration of matter produces an effect similar to cooling, thus leading, in particular, to the enhancement effect of spontaneous symmetry breaking. This conclusion is supported by the observation by Unruh and Weiss that thermal correlation functions computed at a temperature equal to the Unruh temperature are identical to the corresponding correlation functions in a Minkowski (zero-temperature) vacuum. We consider an example of the Nambu-Jona-Lasinio model in a co-accelerating reference frame and show that the uniform acceleration of hot gas of interacting fermions enhances the mass gap generation and increases the critical temperature of the chiral transition. We derive a simple dependence of the critical temperature of a second-order phase transition on acceleration that, as we argue, should be applicable to a broad range of field theories.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We argue that a uniform acceleration of matter produces an effect similar to cooling, thus leading, in particular, to the enhancement effect of spontaneous symmetry breaking. | result 0.46 | 0.44 | 0.94 | asserted 0.46 |
| s1 | This conclusion is supported by the observation by Unruh and Weiss that thermal correlation functions computed at a temperature equal to the Unruh temperature are identical to the corresponding correlation functions in a Minkowski (zero-temperature) vacuum. | background 0.93 | 0.04 | 0.05 | asserted 0.96 |
| s2 | We consider an example of the Nambu-Jona-Lasinio model in a co-accelerating reference frame and show that the uniform acceleration of hot gas of interacting fermions enhances the mass gap generation and increases the critical temperature of the chiral transition. | result 0.58 | 0.95 | 0.22 | asserted 1.00 |
| s3 | We derive a simple dependence of the critical temperature of a second-order phase transition on acceleration that, as we argue, should be applicable to a broad range of field theories. | result 0.91 | 0.95 | 0.16 | asserted 0.46 |
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The paper
Original abstract
We argue that a uniform acceleration of matter produces an effect similar to cooling, thus leading, in particular, to the enhancement effect of spontaneous symmetry breaking. This conclusion is supported by the observation by Unruh and Weiss that thermal correlation functions computed at a temperature equal to the Unruh temperature are identical to the corresponding correlation functions in a Minkowski (zero-temperature) vacuum. We consider an example of the Nambu-Jona-Lasinio model in a co-accelerating reference frame and show that the uniform acceleration of hot gas of interacting fermions enhances the mass gap generation and increases the critical temperature of the chiral transition. We derive a simple dependence of the critical temperature of a second-order phase transition on acceleration that, as we argue, should be applicable to a broad range of field theories.
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References
How the literature uses it
4 arXiv papers cite this in 8 sentences
Papers citing it · 5 sentences without a confident label
Compares with it 1 paper
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Qualitatively, our results are in an agreement with the ones obtained by other authors, for example in the works [ref] .
The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds · Influence of the acceleration on the static quark- potential · 0.95
Cites it as background 1 paper
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A question thoroughly discussed in the literature is the restoration of broken symmetries under sufficiently large acceleration [ref] .
Spatial confinement-deconfinement transition in accelerated gluodynamics within lattice simulation · Introduction · 0.99
What it cites · 28 sentences without a confident label
Uses the method or tool of 1 paper
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Mathematically, this procedure regularizes the sum by selecting an analytical non-divergent contribution [ref] .
Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: scalar field · Acceleration effects for scalar and fermionic fields · 0.99
Uses data or values from 2 papers
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The latter quantity, at a vanishing acceleration, is estimated to be $T^SU(3)_c0 = 0.629(3) √(σ_0) ≃305$ MeV [ref] , if one takes the value of the zero-temperature string tension as $√(σ_0) = 486(6) MeV$ [ref] .
The glueball spectrum of SU(3) gauge theory in 3+1 dimension · Introduction · 0.99
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The latter quantity, at a vanishing acceleration, is estimated to be $T^SU(3)_c0 = 0.629(3) √(σ_0) ≃305$ MeV [ref] , if one takes the value of the zero-temperature string tension as $√(σ_0) = 486(6) MeV$ [ref] .
Thermodynamics of SU(3) Lattice Gauge Theory · Introduction · 0.99
Compares with 1 paper
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Exactly the same conclusion has been reached in Ref. [ref] , where an acceleration-generated negative correction to quadratic fluctuations of the scalar field has been found.
Unruh effect and condensate in and out of an accelerated vacuum · Introduction · 0.80
Cites as support 4 papers
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In an accelerating medium, the thermal quadratic fluctuations of the scalar field decrease [ref] : [equation] This relation is re-derived in the Appendix.
Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: scalar field · Introduction · 0.97
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In an accelerating medium, the thermal quadratic fluctuations of the scalar field decrease [ref] : [equation] This relation is re-derived in the Appendix.
Thermal loops in the accelerating frame · Introduction · 0.97
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In an accelerating medium, the thermal quadratic fluctuations of the scalar field decrease [ref] : [equation] This relation is re-derived in the Appendix.
Acceleration as a circular motion along an imaginary circle: Kubo-Martin-Schwinger condition for accelerating field theories in imaginary-time formalism · Introduction · 0.97
Cites as background 11 papers
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A related restoration of a spontaneously broken symmetry driven by acceleration has also been addressed in other physical scenarios [ref] .
Symmetry Restoration By Acceleration · Introduction · 0.89
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A related restoration of a spontaneously broken symmetry driven by acceleration has also been addressed in other physical scenarios [ref] .
Bose-Einstein condensation in the Rindler space · Introduction · 0.89
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A related restoration of a spontaneously broken symmetry driven by acceleration has also been addressed in other physical scenarios [ref] .
Brout-Englert-Higgs mechanism for accelerating observers · Introduction · 0.89
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