Article
Astronomy & Astrophysics
L. A. Ferreira, H. Malavazzi
Summary: Self-duality plays a crucial role in the study and application of topological solitons, leading to the development of exact methods and nonperturbative techniques. The paper presents a generalization of the Yang-Mills-Higgs system by introducing scalar fields in a symmetric and invertible matrix, maintaining conformal invariance in three-dimensional space. The model allows new scalar fields to adjust themselves to solve modified self-duality equations for various configurations of gauge and Higgs fields.
Article
Multidisciplinary Sciences
Hooman Moradpour, Sarah Aghababaei, Amir Hadi Ziaie
Summary: The implications of GUP and EUP on a system following the Juttner distribution are investigated in this study, with a focus on deriving the distribution function from the partition function and its relation to thermal energy to ultimately determine the corresponding energy density states.
Article
Astronomy & Astrophysics
Nana Cabo Bizet, Octavio Obregon, Wilfredo Yupanqui
Summary: The Heisenberg uncertainty principle is connected to the entropic uncertainty principle, and this correspondence is obtained using a Gaussian probability distribution for wave functions associated with the Shannon entropy. Additionally, the Heisenberg uncertainty principle has been extended to a Generalized Uncertainty Principle (GUP) due to quantum gravity effects. In this study, it is shown that GUP has been derived from considering non-extensive entropies proposed by one of the authors. The findings suggest that non-extensive statistics is a signature of quantum gravity.
Article
Astronomy & Astrophysics
Raghvendra Singh, Dawood Kothawala
Summary: We present a formulation of the generalized uncertainty principle based on a commutator between position and momentum operators defined in a covariant manner using normal coordinates. We show that any such commutator can acquire corrections if the momentum space is curved, resulting in noncommutativity of normal position coordinates. We also provide a construction for the momentum space geometry as a suitable extension of a geometry conformal to the three dimensional relativistic velocity space.
Article
Astronomy & Astrophysics
Pasquale Bosso, Luciano Petruzziello, Fabian Wagner
Summary: This paper clarifies a foundational issue in the phenomenological approach to quantum gravity regarding the generalization of Heisenberg's uncertainty principle. The confusion between perturbative and non-perturbative methods in recent works has resulted in a blurred distinction between changes in the deformed algebra and changes in the representation of operators. This reasoning implies that the existence of a minimal length is representation-dependent and therefore unphysical.
Article
Astronomy & Astrophysics
Ana Alonso-Serrano, Mariusz P. Dabrowski, Hussain Gohar
Summary: In this study, we examine the impact of the generalized uncertainty principle (GUP) on nonextensive black hole thermodynamics using Renyi entropy. Our findings indicate that both Renyi entropy and temperature related to black holes have finite values at the end of the evaporation process when GUP effects are introduced. Furthermore, we explore the sparsity of radiation associated with Renyi temperature and compare it with Hawking radiation's sparsity, as well as investigate GUP modifications to the sparsity of radiation when applied to Renyi temperature.
Article
Physics, Multidisciplinary
Meng Zeng, Zheng Zhu, Juven Wang, Yi-Zhuang You
Summary: In this letter, a lattice regularization method for chiral fermions in the 3-4-5-0 model of (1 + 1)D is proposed. By introducing carefully designed local interactions, the chiral fermions and their mirror partners are realized on opposite boundaries of a thin strip of (2 + 1)D lattice model. The interaction-driven gapping transition is shown to be in the Berezinskii-Kosterlitz-Thouless universality class.
PHYSICAL REVIEW LETTERS
(2022)
Article
Astronomy & Astrophysics
Ofer Aharony, Eran Palti
Summary: The study proposes a new approach to the weak gravity conjecture and attempts to compare it with conformal field theory. They found that in all tested examples, the conjecture seems to hold true, but they have not yet been able to understand why this is the case from the perspective of conformal field theory.
Article
Physics, Nuclear
Lin-Fang Deng, He-Yao Zhang, Chao-Yun Long
Summary: The one-dimensional Dirac equation in the presence of the generalized uncertainty principle (GUP) for a square-well potential is studied. The relationship between the phase time and the dwell time is quantified based on the exact solution. The calculations of phase time, dwell time, and self-interference delay show that GUP affects the tunneling time. Additionally, the effect of GUP on the tunneling time slightly changes with mass and approaches zero with increasing kinetic energy.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2022)
Article
Physics, Multidisciplinary
He Su, Chao-Yun Long
Summary: In this paper, the thermodynamic properties of the Schwarzschild and Reissner-Nordstrom black holes are investigated using the extended generalized uncertainty principle with linear terms (LEGUP). The minimal temperature, modified mass-temperature function, and heat capacity function of the Schwarzschild black hole are calculated. The thermodynamics of LEGUP black holes are compared with EGUP black holes and other forms, and the modification of black hole entropy is discussed.
COMMUNICATIONS IN THEORETICAL PHYSICS
(2022)
Article
Astronomy & Astrophysics
Sukanta Bhattacharyya, Sunandan Gangopadhyay
Summary: This paper investigates the impact of the generalized uncertainty principle on the motion of particles in gravitational quantum phenomena, studying their behavior under the most general form of GUP using the path integral representation. By analyzing the upper limit of velocity and the relationship between GUP parameters, the mathematical expressions for classical action and quantum fluctuations of free particles and harmonic oscillator systems are derived.
Article
Astronomy & Astrophysics
Mohamed Moussa, Homa Shababi, Ahmed Farag Ali
Summary: This paper examines the impact of the generalized uncertainty principle (GUP) on the stochastic gravitational wave (SGW) background signal in the early universe. By modifying the formula for entropy and using pressure parameterizations based on recent lattice calculations, the temporal evolution of temperature and equation of state around the QCD epoch are studied. The results show that the GUP effect leads to an increase in the frequency peak of SGW and weakens the SGW signal generated during the QCD phase transition.
Article
Physics, Multidisciplinary
Jun-Li Li, Cong-Feng Qiao
Summary: The uncertainty principle in quantum physics is not only limited to the traditional uncertainty relation, but also includes a more generalized uncertainty relation. Research has shown that higher order nonlinear dependence may reveal more different and interesting correlation properties, which have important applications in quantum information science.
ANNALEN DER PHYSIK
(2021)
Article
Astronomy & Astrophysics
Shi Cheng
Summary: This study investigates the mirror symmetry of Abelian three-dimensional N = 2 theories with mixed Chern-Simons levels by transforming them into T-A,T-N theories. It reveals that T-A,T-N theories have multiple mirror dual theories with different mixed CS levels and parameters, and analyzes the mirror symmetry for theories corresponding to knots using sphere partition functions and vortex partition functions.
Article
Astronomy & Astrophysics
Simon Catterall
Summary: The proposal describes a lattice theory model capable of producing free Weyl fermions in the continuum limit using reduced staggered fermions and site parity dependent Yukawa interactions. The model successfully addresses certain discrete anomalies arising in the continuum limit and has numerical results supporting the scenario in two dimensions.