Renormalization in conformal quantum mechanics

Camblong, Horacio E.; Ordóñez, Carlos

doi:10.1016/j.physleta.2005.06.110

Cited by 29 publications

(15 citation statements)

References 53 publications

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“…But it is only by highlighting the governing role of CQM that such behavior and its universal manifestations for thermal radiation and black hole thermodynamics can be fully understood. Incidentally, other aspects of this "Russian-doll" behavior have been studied in CQM in terms of renormalization frameworks and a variety of physical realizations [41][42][43].…”

Section: Conformal Aspects Of the Near-horizon Radiationmentioning

confidence: 99%

Near-horizon aspects of acceleration radiation by free fall of an atom into a black hole

Camblong,

Chakraborty,

Ordonez

2020

Preprint

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A two-level atom freely falling towards a Schwarzschild black hole was recently shown to detect radiation in the Boulware vacuum in an insightful paper [M. O. Scully et al., PNAS 115(32), 8131 (2018)]. The two-state atom acts as a dipole detector and its interaction with the field can be modeled using a quantum optics approach. The relative acceleration between the scalar field and the detector causes the atom to detect the radiation. In this paper, we show that this acceleration radiation is driven by the near-horizon physics of the black hole. This insight reinforces the relevance of near-horizon conformal quantum mechanics for all the physics associated with the thermodynamic properties of the black hole. We additionally highlight the conformal aspects of the radiation that is given by a Planck distribution with the Hawking temperature.

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Section: Conformal Aspects Of the Near-horizon Radiationmentioning

confidence: 99%

Near-horizon aspects of acceleration radiation by free fall of an atom into a black hole

Camblong,

Chakraborty,

Ordonez

2020

Preprint

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“…By comparison with the radial derivative terms of the normal-reduced equation (2.7), the scale-invariant case defining CQM occurs if and only if 16) in which case the 'extra term' carries the critical coupling 1/4 that guarantees the relevant physics in the strong-coupling regime [27] (and is absorbed in equation (3.15)). …”

Section: Modified Effective Potential and Angular Momentummentioning

confidence: 99%

Conformal tightness of holographic scaling in black hole thermodynamics

Camblong¹,

Ordóñez²

2013

Class. Quantum Grav.

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Abstract.The near-horizon conformal symmetry of nonextremal black holes is shown to be a mandatory ingredient for the holographic scaling of the scalar-field contribution to the black hole entropy. This conformal tightness is revealed by semiclassical first-principle scaling arguments through an analysis of the multiplicative factors in the entropy due to the radial and angular degrees of freedom associated with a scalar field. Specifically, the conformal SO(2,1) invariance of the radial degree of freedom conspires with the area proportionality of the angular momentum sums to yield a robust holographic outcome.

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“…, where r 0 is an arbitrary dimensionful parameter and φ l = φ l (r 0 ). This is an example of an anomaly [46,47] where the scale invariance of the classical system is broken by the renormalization of the quantum system.…”

Section: Non-perturbative Renormalizationmentioning

confidence: 99%

The Problem of Renormalization of Chiral Nuclear Forces

Kolck

2020

Front. Phys.

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Ever since quantum field theory was first applied to the derivation of nuclear forces in the mid-twentieth century, the renormalization of pion exchange with realistic couplings has presented a challenge. The implementation of effective field theories (EFTs) in the 1990s promised a solution to this problem but unexpected obstacles were encountered. The response of the nuclear community has been to focus on "chiral potentials" with regulators chosen to produce a good description of data. Meanwhile, a successful EFT without explicit pion exchange-Pionless EFT-has been formulated where renormalization is achieved order by order in a systematic expansion of low-energy nuclear observables. I describe how lessons from Pionless EFT are being applied to the construction of a properly renormalized Chiral EFT.

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Renormalization in conformal quantum mechanics

Cited by 29 publications

References 53 publications

Near-horizon aspects of acceleration radiation by free fall of an atom into a black hole

Near-horizon aspects of acceleration radiation by free fall of an atom into a black hole

Conformal tightness of holographic scaling in black hole thermodynamics

The Problem of Renormalization of Chiral Nuclear Forces

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