Abstract

Spectra for the emission of charged leptons from evaporating hot-spots of preconfining phase in SU(2) Yang-Mills thermodynamics are computed. Specifically, we consider charged single and dileptons with their spectra being functions of energy and invariant mass, respectively. In the former case, our results relate to narrow and correlated electron and positron peaks measured in supercritical heavy-ion collisions performed at GSI in the 1980s. In the latter case, we point out how strongly the spectra depend on typical kinematic cuts (CDF analysis of Tevatron Run II data). We also propose a scenario on how muon events of anomalously high multiplicity and large impact-parameter modulus arise in the Tevatron data.

Highlights

  • Pure SU(2) Yang-Mills thermodynamics possesses a narrow preconfining phase characterized by condensed monopole-antimonopole pairs

  • Above the critical temperature TH for the Hagedorn transition towards the confining phase the preconfining thermodynamics of the spatially infinitely extended gauge-theory system is dominated by this thermal ground state: The only propagating massive, dual gauge mode decouples, that is, acquires a very large Meissner mass

  • Once temperature falls below TH the infinitely extended monopole-antimonopole condensate decays nonthermally into single and selfintersecting center-vortex loops (CVLs) which are interpreted as spin-1/2 fermions [1, 3, 4, 5]

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Summary

Introduction

Pure SU(2) Yang-Mills thermodynamics possesses a narrow preconfining phase characterized by condensed monopole-antimonopole pairs. There is one SU(2) Yang-Mills theory for each lepton family with the respective Yang-Mills scale Λ matching the mass of the charged lepton: Λe ∼ me , Λμ ∼ mμ , Λτ ∼ mτ This scenario, at first sight ruled out by the apparent experimentally inferred pointlikeness of charged leptons, has predictive power under conditions where the creation of large-sized hot-spots of preconfining ground state is feasible. Recall that, according to SU(2) YangMills thermodynamics, the apparent pointlikeness of leptons when probed by highmomentum transfer Standard-Model (SM) processes is a consequence of the presence of a large number of instable excitations in the interaction region Their combined effect together with the free shiftability of vortex intersection points is efficiently and successfully described perturbatively by the SM. The motivation arises due to the observation of universal narrow-peak structures in supercritical heavy-ion collisions at Gesellschaft fur Schwerionenforschung Darmstadt (GSI) more than two decades ago

Experimental situation
Single lepton spectrum from hot-spot evaporation
Dilepton spectrum from hot-spot evaporation
Summary and Conclusions
Full Text
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