Lattice simulations find spatially inhomogeneous confinement-deconfinement transition in weakly accelerated SU(3) gluodynamics, with phase boundary following TE prediction and unchanged critical temperature.
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The Unruh effect and its applications
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abstract
It has been thirty years since the discovery of the Unruh effect. It has played a crucial role in our understanding that the particle content of a field theory is observer dependent. This effect is important in its own right and as a way to understand the phenomenon of particle emission from black holes and cosmological horizons. Here, we review the Unruh effect with particular emphasis to its applications. We also comment on a number of recent developments and discuss some controversies. Effort is also made to clarify what seems to be common misconceptions.
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Lattice simulations in Rindler spacetime show that acceleration turns the confinement-deconfinement transition in gluodynamics into a spatial crossover that approximately follows the Tolman-Ehrenfest law, while the critical temperature stays unchanged.
The free particle, harmonic oscillator, and inverted oscillator are unified as parabolic, elliptic, and hyperbolic realizations of the same conformal module, with explicit mappings between their states, coherent states, and scattering data via metaplectic rotations and Mellin transforms.
Massive fields in null-shifted Rindler wedges produce non-thermal spectra for accelerated observers, as mass eliminates the exponential Bogoliubov mixing that creates thermality.
Moderate acceleration of an Unruh-DeWitt detector in a cylindrical cavity suppresses decoherence more effectively than the inertial case by smearing resonant modes and replacing off-resonant decay with oscillations.
Decoherence rate of an Unruh-DeWitt detector scales as a^{2Δ-1} in the long-time limit, increasing with the scaling dimension Δ of the coupled field and offering a more sensitive probe of the Unruh effect.
The Weyl anomaly induces a new non-dissipative current in accelerated fluids that fixes the electromagnetic-acceleration coupling at second order in hydrodynamics.
Exact calculations in a boost-invariant free Dirac fermion fluid show spin polarization arises only from finite spin potential, with shear-induced polarization and spin Hall effect absent.
Affine group symmetries on the light ray, with dilations implementing modular flow, provide the minimal structure for thermality on the Rindler horizon via the Mellin transform bridge between Minkowski and Rindler modes.
Finite relativistic deceleration requires boundary Schott energy changes in the LAD equation to conserve energy, and the LCHK estimate for extreme deceleration exceeds sustainable limits for uniform proper deceleration.
Uniformly rotating particles decay via emission of negative-energy quanta due to the lack of a global vacuum for such observers, implying none can be regarded as stable.
Lecture notes that build the BMS group from prerequisites to applications in soft theorems, memory effects, and new material on asymptotic conformal Killing horizons.
Acceleration has no effect on a causality-enforcing trivial vacuum, so the Unruh effect is absent and standard calculations omit a cancelling contribution from Lorentz transformations acting on the detector.
citing papers explorer
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Spatially inhomogeneous confinement-deconfinement phase transition in accelerated gluodynamics
Lattice simulations find spatially inhomogeneous confinement-deconfinement transition in weakly accelerated SU(3) gluodynamics, with phase boundary following TE prediction and unchanged critical temperature.
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Spatial confinement-deconfinement transition in accelerated gluodynamics within lattice simulation
Lattice simulations in Rindler spacetime show that acceleration turns the confinement-deconfinement transition in gluodynamics into a spatial crossover that approximately follows the Tolman-Ehrenfest law, while the critical temperature stays unchanged.
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The Free Particle--Oscillator--Inverted Oscillator Triangle: Conformal Bridges, Metaplectic Rotations and $\mathfrak{osp}(1|2)$ Structure
The free particle, harmonic oscillator, and inverted oscillator are unified as parabolic, elliptic, and hyperbolic realizations of the same conformal module, with explicit mappings between their states, coherent states, and scattering data via metaplectic rotations and Mellin transforms.
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Thermality Breakdown in Null-Shifted Rindler Wedges
Massive fields in null-shifted Rindler wedges produce non-thermal spectra for accelerated observers, as mass eliminates the exponential Bogoliubov mixing that creates thermality.
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Cavity-controlled Inhibition of Decoherence in Accelerated Quantum Detectors
Moderate acceleration of an Unruh-DeWitt detector in a cylindrical cavity suppresses decoherence more effectively than the inertial case by smearing resonant modes and replacing off-resonant decay with oscillations.
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Probing Unruh Effect from Enhanced Decoherence
Decoherence rate of an Unruh-DeWitt detector scales as a^{2Δ-1} in the long-time limit, increasing with the scaling dimension Δ of the coupled field and offering a more sensitive probe of the Unruh effect.
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Weyl anomaly induced transport in hydrodynamics
The Weyl anomaly induces a new non-dissipative current in accelerated fluids that fixes the electromagnetic-acceleration coupling at second order in hydrodynamics.
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Exact expectation values in a boost-invariant fluid of Dirac fermions with finite spin density
Exact calculations in a boost-invariant free Dirac fermion fluid show spin polarization arises only from finite spin potential, with shear-induced polarization and spin Hall effect absent.
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Modular theory and affine representations on the Rindler horizon
Affine group symmetries on the light ray, with dilations implementing modular flow, provide the minimal structure for thermality on the Rindler horizon via the Mellin transform bridge between Minkowski and Rindler modes.
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Relativistic deceleration vs acceleration, Unruh effect observation, and the Schott energy
Finite relativistic deceleration requires boundary Schott energy changes in the LAD equation to conserve energy, and the LCHK estimate for extreme deceleration exceeds sustainable limits for uniform proper deceleration.
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Decay of uniformly rotating particles
Uniformly rotating particles decay via emission of negative-energy quanta due to the lack of a global vacuum for such observers, implying none can be regarded as stable.
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Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics
Lecture notes that build the BMS group from prerequisites to applications in soft theorems, memory effects, and new material on asymptotic conformal Killing horizons.
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Poincar\'e invariance and the Unruh effect
Acceleration has no effect on a causality-enforcing trivial vacuum, so the Unruh effect is absent and standard calculations omit a cancelling contribution from Lorentz transformations acting on the detector.