Torsion in quantum field theory through time-loops on Dirac materials

Abstract

Assuming dislocations could be meaningfully described by torsion, we propose here a scenario based on the role of time in the low-energy regime of two-dimensional Dirac materials, for which coupling of the fully antisymmetric component of the torsion with the emergent spinor is not necessarily zero. Appropriate inclusion of time is our proposal to overcome well-known geometrical obstructions to such a program, that stopped further research of this kind. In particular, our approach is based on the realization of an exotic $time-loop$, that could be seen as oscillating particle-hole pairs. Although this is a theoretical paper, we moved the first steps toward testing the realization of these scenarios, by envisaging $Gedankenexperiments$ on the interplay between an external electromagnetic field (to excite the pair particle-hole and realize the time-loops), and a suitable distribution of dislocations described as torsion (responsible for the measurable holonomy in the time-loop, hence a current). Our general analysis here establishes that we need to move to a nonlinear response regime. We then conclude by pointing to recent results from the interaction laser-graphene that could be used to look for manifestations of the torsion-induced holonomy of the time-loop, e.g., as specific patterns of suppression/generation of higher harmonics.

arXiv comment24 pages, 5 figures

References in corpus (34)

• The electronic properties of graphene
• Gauge fields in graphene
• Dirac materials
• Quantum Time Crystals
• Physical Aspects of the Space-Time Torsion
• Light-field driven currents in graphene
• Novel effects of strains in graphene and other two dimensional materials
• Classical Time Crystals
• Strong-field Phenomena in Periodic Systems
• Discrete approaches to quantum gravity in four dimensions
• Observation of a space-time crystal in a superfluid quantum gas
• Space-time crystals of trapped ions
• Quantum field theory in curved graphene spacetimes, Lobachevsky geometry, Weyl symmetry, Hawking effect, and all that
• Quantum Electrodynamics of Particles on a Plane and the Chern-Simons Theory
• Wannier-Bloch approach to localization in high harmonics generation in solids
• The Hawking-Unruh phenomenon on graphene
• Dynamical Chiral Symmetry Breaking on a Brane in Reduced QED
• Geometric Theory of Defects
• Coherent electron trajectory control in graphene
• Dislocations and torsion in graphene and related systems
• Weyl-Gauge Symmetry of Graphene
• Supersymmetry of a different kind
• Parallel Transport of Electrons in Graphene Parallels Gravity
• Revisiting the gauge fields of strained graphene
• Generalized Dirac structure beyond the linear regime in graphene
• A nonsingular solution of the edge dislocation in the gauge theory of dislocations
• Quantum gravity with torsion and non-metricity
• On the exact quantum scale invariance of three-dimensional reduced QED theories
• Using Weyl symmetry to make Graphene a real lab for fundamental physics
• $\mathcal{N}$-Extended $D=4$ Supergravity, Unconventional SUSY and Graphene
• (Anti-)de Sitter, Poincaré, Super symmetries, and the two Dirac points of graphene
• Comments on the Chern-Simons photon term in the QED description of graphene
• Dynamical Contents of Unconventional Supersymmetry
• Supersymmetric 3D model for gravity with $SU(2)$ gauge symmetry, mass generation and effective cosmological constant

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• Generalized Uncertainty Principle in three-dimensional gravity and the BTZ black hole
• Hunting Quantum Gravity with Analogs: the case of graphene
• Torsion at different scales: from materials to the Universe
• Generalized Ellis-Bronnikov graphene wormhole
• The three "layers" of graphene monolayer and their analog generalized uncertainty principles
• Disclinations in the geometric theory of defects
• Turning graphene into a lab for noncommutativity
• Reduced quantum electrodynamics in curved space
• Massless Rarita-Schwinger equations: Half and three halves spin solution
• Unconventional Supersymmetry via the Dressing Field Method
• Relational Supersymmetry via the Dressing Field Method and Matter-Interaction Supergeometric Framework
• Quantum black holes as classical space factories
• Emerging (2+1)D massive graviton in graphene-like systems
• Vortex solutions of Liouville equation and quasi spherical surfaces
• Time-loops to spot torsion on bidimensional Dirac materials with dislocations
• Interference effects and modified Born rule in the presence of torsion