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Magnetized Strange- Quark-Matter at Finite Temperature July 18, 2012 Latin American Workshop on High-Energy-Physics: Particles and Strings MSc. Ernesto López Fune Institute of Cybernetics Mathematics and Physics (ICIMAF)

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Motivation Extension to finite temperature environments of Phys. Rev. C 77, (2008). Study the thermodynamical parameters of SQM under strong magnetic fields.

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Introduction Neutron stars as the final stage of massive stars result from Super Nova explosions. – First discovery by Jocelyn Bell in – Since then, around (or more) 1000 have been discovered. Main features: – Fast spinning compact objects – Periods of milliseconds – Strong magnetic fields – Small radius:10 km – High densities: – Low temperatures

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Introduction Several astrophysical observations discovered unusual neutron stars. – Properties non explicable by canonic neutron star models. Main features: – Anomalous X-rays explosions – Faster spinning compact objects – Very strong magnetic fields – Smaller radius: 6 km – Higher densities: – Low temperatures Quark stars are proposed. Itoh, Prog.Theor. Phys. 44,291(1970).

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Introduction !!B-W-T’s Conjecture: at T = 0, P = 0 and finite density!! SQM: stable phase of nuclear matter; made by deconfined quarks u, d and s with electrons. ¿SQM contradict daily experience? !!times comparable with the age of the Universe!!

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Introduction !!B-W-T’s Conjecture: at T = 0, P = 0 and finite density!! SQM: stable phase of nuclear matter; made by deconfined quarks u, d y s. !!times comparable with the age of the Universe!! ¿SQM contradict daily experience?

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Introduction Standard Model of Particle Physics. Leptons + Quarks = spin-½ fermions: building blocks. Leptons: Quarks = u, d, s, c, t, b. Barions = q + q + q. Mesons = q + q QCD Asymptotic Freedom Color Confinement SU(3)

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Introduction Color Confinement ( 1 GeV) Non-linear Eqs. Lattice Models Lattice QCD Phenomenological Models – NJL---- Dynamic – MIT Bag Model---- Static QCD Phase Transition Hadron gas QGP T c = 170 MeV

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MIT Bag Model in S For low baryon numbers, it leads to a liquid drop model formalism Multiple Reflection Expansion Method

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Termodynamical potential MIT Bag Model bulksurfacecurvature gluons QCD Vacuum Corrections: Bulk Surface Curvature R. Balian, C. Bloch, Annals Phys. 60, 401 (1970) Berger and Jaffe, Phys Rev C (1987), E (1991). Madsen Phys Rev D (1994)

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MIT Bag Model Magnetized strangelets at finite temperature: J. Phys. G: Nucl. Part. Phys 39 (2012)

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MIT Bag Model Magnetized strangelets at finite temperature: J. Phys. G: Nucl. Part. Phys 39 (2012)

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Magnetic field Constant Magnetic field in z-direction. Particle’s Spectrum Landau levelsSpin projections High density compact objects endowed with strong magnetic fields

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Termodynamic limit bulk gluons QCD Vacuum Magnetic field

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Anisotropic presures Magnetic field Spatial isotropy broken by the magnetic field For B< G

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Results: Beta-equilibrium Fixed Baryonic density Local electric charge neutrality Conditions on MSQM similarly to Astrophysics environments

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Electron’s density is decimated in the strong field regime. This induces a transversal collapse of the local volume. Temperature increase the s quarks formation. Ferromagnetic-diamagnetic behavior expected is obtained. Stable MSQM at low temperatures. BWT conjecture proved. The transversal pressure is dominated first by s quarks, then by gluons. The transversal pressure minimum depends on the density. Conclusions

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!!MUCHAS GRACIAS!! !!THANKS SO MUCH!! !!GRAZIE MILLE!!

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