Test of Space-Time Non-Commutativity at the Future Circular Collider

Abstract

The Future Circular Collider (FCC) is a crucial step forward to study new Physics beyond the standard model and to test fundamental aspects as space-time minimal length and Lorentz violations. As an example, a possible enhancement of $e^{+}{e}^{-}$ pair production due to non-commutative effects, catalyzed by the huge magnetic field produced at the beginning of a heavy ion collision at FCC, is discussed. In noncommutative electrodynamics a free photon in the magnetic background can produce a $e^{+}{e}^{-}$ pair. In particular for hard photons with transverse energy $100-600$ GeV at the beginning of the collision and for a particular kinematical setting of the pair , i.e. large total transverse momentum in the reaction plane and invariant mass in the range $200-400$ MeV, the non-commutative contribution, evaluated with the present bound of the non-commuativity fundamental area , can be significant. Other, more exotic, possible signatures of space-time non-commutativity are also considered.

References in corpus (28)

• String Theory and Noncommutative Geometry
• Noncommutative Field Theory
• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Quantum Field Theory on Noncommutative Spaces
• Estimate of the magnetic field strength in heavy-ion collisions
• Noncommutative Field Theory and Lorentz Violation
• Parity violation in hot QCD: why it can happen, and how to look for it
• Charge separation induced by P-odd bubbles in QCD matter
• Constraints on Lorentz violation from clock-comparison experiments
• Noncommutative Gravitational Quantum Well
• Testing Non-commutative QED, Constructing Non-commutative MHD
• Review of the Phenomenology of Noncommutative Geometry
• Electron-Positron Pair Production in Relativistic Heavy Ion Collisions
• Electric-current Susceptibility and the Chiral Magnetic Effect
• Scaling of variables and the relation between noncommutative parameters in Noncommutative Quantum Mechanics
• Inhomogeneous Shadowing Effects on J/ψProduction in dA Collisions
• Probing phase-space noncommutativity through quantum beating, missing information and the thermodynamic limit
• Phase-space noncommutative formulation of Ozawa's uncertainty principle
• Noncommutative Synchrotron
• Robertson-Schroedinger type formulation of Ozawa's noise-disturbance uncertainty principle
• Phase-space noncommutative extension of the Robertson-Schroedinger formulation of Ozawa's uncertainty principle
• Bell operator and Gaussian squeezed states in noncommutative quantum mechanics
• Lorentz-violating dilatations in the momentum space and some extensions on non-linear actions of Lorentz algebra-preserving systems
• On the Vacuum Cherenkov Radiation in Noncommutative Electrodynamics and the Elusive Effects of Lorentz Violation
• Noncommutative electrodynamics and ultra high energy gamma rays
• Violation of Lorentz invariance and dynamical effects in high energy gamma rays
• Noncommutativity and Lorentz Violation in Relativistic Heavy Ion Collisions