Advances in High Energy Physics

Planck-Scale Deformations of Relativistic Symmetries


Status
Published

1Sapienza University of Rome, Rome, Italy

2University of Burgos, Burgos, Spain

3University of Waterloo, Waterloo, Canada

4University of Wrocław, Wrocław, Poland


Planck-Scale Deformations of Relativistic Symmetries

Description

After more than 80 years of study, the problem of formulating a quantum theory of gravity, unifying Einstein’s theory of general relativity with quantum theory, remains unsolved. This is clearly due primarily to the complexity of the problem, but we might have been stalled also by some unrecognized, yet incorrect assumptions. Over the last 15 years, there was particular interest in the quantum-gravity literature in the possibility that quantum-gravity effects might have significant implications for relativistic symmetries, contrary to what had been most frequently assumed. The first wave of such studies involved quantum-gravity effects that would “break” relativistic symmetries (preferred frame) but it was then realized that it is also possible to more smoothly “deform” relativistic symmetries (novel relativistic laws but still without a preferred frame). The study of the possibility of deformed relativistic symmetries has already produced intriguing results technically and conceptually and also in phenomenology, but several grey areas remain in our understanding of the relevant models.

This special issue focuses on quantum-gravity-induced deformations of relativistic symmetries, with a rather broad perspective. Indeed, improvements in this research area are needed from different directions. Surely important would be a deeper understanding of the formalism usable for the description of deformed relativistic symmetries, such as the formalism of Hopf algebras and of theories with curved momentum spaces (“relative-locality framework”). It would also be valuable to establish more rigorously whether and how deformed relativistic symmetries may arise in quantum-gravity theories which were not originally intended to produce such deformations, such as Loop Quantum Gravity, Group Field Theory, theories with Space-Time Noncommutativity, Causal Dynamical Triangulations, and Causal sets. Also, studies that mainly focus on the possibility of broken relativistic symmetries, but providing some comparison with the deformed-relativistic-symmetry scenario, would be valuable. Improvements of the phenomenology of deformed relativistic symmetries would evidently be important, and for this too, by contrast, progress in the phenomenology of broken relativistic symmetries could be valuable.

Potential topics include but are not limited to the following:

  • Hopf-algebra relativistic symmetries
  • Theories with modified dispersion relations
  • Relative locality and theories with curved momentum spaces
  • Spacetime noncommutativity
  • Thermodynamics with deformed relativistic symmetries
  • Theories with minimal length
  • Horava-Lifshitz gravity
  • String-theory models with implications for relativistic symmetries
  • Theory and phenomenology of the rainbow-gravity scenario
  • Phenomenological consequences of deformed relativistic symmetries
  • Phenomenological consequences of broken relativistic symmetries

Articles

  • Special Issue
  • - Volume 2017
  • - Article ID 7876942
  • - Review Article

Noncommutative Relativistic Spacetimes and Worldlines from 2 + 1 Quantum (Anti-)de Sitter Groups

Ángel Ballesteros | N. Rossano Bruno | Francisco J. Herranz
  • Special Issue
  • - Volume 2017
  • - Article ID 4768341
  • - Research Article

Effective Models of Quantum Gravity Induced by Planck Scale Modifications in the Covariant Quantum Algebra

G. P. de Brito | P. I. C. Caneda | ... | V. Nikoofard
  • Special Issue
  • - Volume 2017
  • - Article ID 7158697
  • - Research Article

Phase Transition of Black Holes in Brans–Dicke Born–Infeld Gravity through Geometrical Thermodynamics

S. H. Hendi | M. S. Talezadeh | Z. Armanfard
  • Special Issue
  • - Volume 2017
  • - Article ID 4395918
  • - Research Article

A Quantum Space behind Simple Quantum Mechanics

Chuan Sheng Chew | Otto C. W. Kong | Jason Payne
  • Special Issue
  • - Volume 2017
  • - Article ID 4015145
  • - Research Article

Big Bang as a Critical Point

Jakub Mielczarek
  • Special Issue
  • - Volume 2017
  • - Article ID 4731050
  • - Research Article

Space-Time Defects and Group Momentum Space

Michele Arzano | Tomasz Trześniewski
  • Special Issue
  • - Volume 2017
  • - Article ID 4042314
  • - Research Article

Noncommutative Spacetime Symmetries from Covariant Quantum Mechanics

Alessandro Moia
  • Special Issue
  • - Volume 2017
  • - Article ID 6075920
  • - Research Article

Planck-Scale Dual-Curvature Lensing and Spacetime Noncommutativity

Giovanni Amelino-Camelia | Leonardo Barcaroli | ... | Laura Pensato
Advances in High Energy Physics
 Journal metrics
Acceptance rate37%
Submission to final decision49 days
Acceptance to publication32 days
CiteScore3.300
Impact Factor1.422
 Submit

We are committed to sharing findings related to COVID-19 as quickly as possible. We will be providing unlimited waivers of publication charges for accepted research articles as well as case reports and case series related to COVID-19. Review articles are excluded from this waiver policy. Sign up here as a reviewer to help fast-track new submissions.