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It is proven that there are precisely $n$ odd-parity sphaleron-like unstable modes of the $n$-th Bartnik-McKinnon soliton and the $n$-th non-abelian black hole solution of the Einstein-Yang-Mills theory for the gauge group $SU(2)$.

高能物理 - 理论 · 物理学 2016-09-06 M. S. Volkov , O. Brodbeck , G. Lavrelashvili , N. Straumann

Particle production in strong electromagnetic fields is a recurring theme in solid state physics, heavy ion collisions, early universe cosmology and formal quantum field theory. In this paper we discuss the Dirac equation in a background of…

高能物理 - 唯象学 · 物理学 2020-03-03 Valerie Domcke , Yohei Ema , Kyohei Mukaida

The Dirac equation is solved in the $z=0$ Lifshitz black hole ($Z0$LBH) spacetime. The set of equations representing the Dirac equation in the Newman-Penrose (NP) formalism is decoupled into a radial set and an angular set. The separation…

高能物理 - 理论 · 物理学 2018-12-27 Gülnihal Tokgöz , İzzet Sakallı

Due to the presence of the chiral anomaly sphalerons with Chern-Simons number a half (CS=1/2) are the only static configurations that allow for a fermion level crossing in the two-dimensional Abelian-Higgs model with massless fermions, i.e.…

高能物理 - 唯象学 · 物理学 2015-06-25 M. Axenides , A. Johansen , H. B. Nielsen

The classic composite fermion field theory (Ref. 1) builds up an excellent framework to uniformly study important physical objects and globally explain anomalous experimental phenomena in fractional quantum Hall physics while there are also…

强关联电子 · 物理学 2017-01-20 Yibin Yang , Xi Luo , Yue Yu

We construct finite mass, asymptotically flat black hole solutions in d=5 Einstein--Yang-Mills--Chern-Simons theory. Our results indicate the existence of a second order phase transition between Reissner-Nordstrom solutions and the…

高能物理 - 理论 · 物理学 2011-02-23 Yves Brihaye , Eugen Radu , D. H. Tchrakian

A model where a Dirac fermion is coupled to background dilaton field is considered to study s-wave scattering of fermion by a background dilaton black hole. It is found that the anomaly plays a dual role on information loss scenario. Some…

高能物理 - 理论 · 物理学 2009-04-21 Anisur Rahaman

The topological states of matter and topological materials have been attracting extensive interests as one of the frontier topics in condensed matter physics and materials science since the discovery of quantum Hall effect in 1980s. So far…

介观与纳米尺度物理 · 物理学 2022-03-03 Bo Fu , Jin-Yu Zou , Zi-Ang Hu , Huan-Wen Wang , Shun-Qing Shen

The Dirac equation, in the field of a traveling circularly polarized electromagnetic wave and a constant magnetic field, has singular solutions, corresponding the expansion of energy in vicinity of some singular point. These solutions…

量子物理 · 物理学 2014-05-15 Boris V. Gisin

In this study, we analytically examine the behavior of a fermion-antifermion pair near the horizon of a static BTZ black hole using a fully covariant two-body Dirac equation with a position-dependent mass. This formulation leads to a set of…

广义相对论与量子宇宙学 · 物理学 2025-03-26 Abdullah Guvendi , Omar Mustafa

We analyze the Chern-Simons-like term generation in the CPT-odd Lorentz-violating Yang-Mills theory interacting with fermions. Moreover, we study the anomalies of this model as well as its quantum stability. The whole analysis is performed…

高能物理 - 理论 · 物理学 2017-12-27 Tiago R. S. Santos , Rodrigo F. Sobreiro

Non-perturbative contributions of the Euclidean path integral are important to understand the information loss paradox. In this paper, we revisit the Yang-Mills instantons in the Einstein-Yang-Mills theory. There exists a globally regular…

广义相对论与量子宇宙学 · 物理学 2023-11-02 Pisin Chen , Xiao Yan Chew , Misao Sasaki , Dong-han Yeom

We present spherically symmetric static solutions (a particle-like solution and a black hole solution) in the Einstein-Yang-Mills system with a cosmological constant.Although their gravitational structures are locally similar to those of…

广义相对论与量子宇宙学 · 物理学 2010-01-08 Takashi Torii , Kei-ichi Maeda , Takashi Tachizawa

The scattering of Dirac fermions on the sine-Gordon kink is studied both analytically and numerically. To achieve invariance with respect to a discrete symmetry, the sine-Gordon model is treated as a nonlinear $\sigma$-model with a circular…

高能物理 - 理论 · 物理学 2023-01-24 A. Yu. Loginov

The low-energy limit of string theory contains an anomaly-canceling correction to the Einstein-Hilbert action, which defines an effective theory: Chern-Simons (CS) modified gravity. The CS correction consists of the product of a scalar…

广义相对论与量子宇宙学 · 物理学 2009-10-29 Nicolas Yunes , Frans Pretorius

We consider N Dirac fermions on a 4-dimensional Euclidean space with a quadratic interaction given by arbitrary external Clifford-valued fields. The divergence of the axial current satisfies on the classical level a relation that is…

高能物理 - 理论 · 物理学 2025-02-20 Jan Dereziński , Adam Latosiński

In this paper we study fermion perturbations in four dimensional black holes of string theory, obtained either from a non-extreme configuration of three intersecting five-branes with a boost along the common string or from a non-extreme…

广义相对论与量子宇宙学 · 物理学 2011-04-08 Owen Pavel Fernández Piedra , Jeferson de Oliveira

We present a gauged baryon number model as an example of models where all new fermions required to cancel out the anomalies help to solve phenomenological problems of the standard model (SM). Dark fermion doublets, along with the…

高能物理 - 唯象学 · 物理学 2022-09-19 Diego Restrepo , Andrés Rivera , Walter Tangarife

The dislocation in Dirac semimetal carries an emergent magnetic flux parallel to the dislocation axis. We show that due to the emergent magnetic field the dislocation accommodates a single fermion massless mode of the corresponding…

介观与纳米尺度物理 · 物理学 2017-03-15 M. N. Chernodub , Mikhail Zubkov

In this work, we find new static, spherically symmetric, dyonic, globally regular exact solutions to $\mathfrak{su}(\infty)$ Einstein-Yang-Mills theory with a negative cosmological constant $\Lambda$, in the regime that $|\Lambda|$ is very…

广义相对论与量子宇宙学 · 物理学 2019-02-04 J. Erik Baxter