HEM 2016: Holographic entanglement chemistry

hechoenmexico

Holographic entanglement chemistry

Elena Caceres (Colima U. and Texas U.), Phuc H. Nguyen (Texas U.), Juan F. Pedraza (Amsterdam U.)

We use the Iyer-Wald formalism to derive an extended first law of entanglement that includes variations in the cosmological constant, Newton’s constant and –in the case of higher derivative theories– all the additional couplings of the theory. In Einstein gravity, where the number of degrees of freedom N2 of the dual field theory is a function of Λ and G, our approach allows us to vary N keeping the field theory scale fixed or to vary the field theory scale keeping N fixed. We also derive an extended first law of entanglement for Gauss-Bonnet and Lovelock gravity.

Comments: 38 pages
Subjects: High Energy Physics – Theory (hep-th)
Report number: UTTG-05-16
Cite as: arXiv:1605.00595 [hep-th]
(or arXiv:1605.00595v1 [hep-th] for this version)

HEM 2016: Contact Hamiltonian Mechanics

hechoenmexico

Contact Hamiltonian Mechanics

In this work we introduce contact Hamiltonian mechanics, an extension of symplectic Hamiltonian mechanics, and show that it is a natural candidate for a geometric description of non-dissipative and dissipative systems. For this purpose we review in detail the major features of standard symplectic Hamiltonian dynamics and show that all of them can be generalized to the contact case.

Comments: 28 pages, preliminary version, comments are welcome
Subjects: Mathematical Physics (math-ph); Symplectic Geometry (math.SG); Classical Physics (physics.class-ph)
Cite as: arXiv:1604.08266 [math-ph]
(or arXiv:1604.08266v1 [math-ph] for this version)

HEM 2016: Polarized 3 parton production in inclusive DIS at small x

hechoenmexico

Polarized 3 parton production in inclusive DIS at small x

Azimuthal angular correlations between produced hadrons/jets in high energy collisions are a sensitive probe of the dynamics of QCD at small x. Here we derive the triple differential cross section for inclusive production of 3 polarized partons in DIS at small x using the spinor helicity formalism. The target proton or nucleus is described using the Color Glass Condensate (CGC) formalism. The resulting expressions are used to study azimuthal angular correlations between produced partons in order to probe the gluon structure of the target hadron or nucleus. Our analytic expressions can also be used to calculate the real part of the Next to Leading Order (NLO) corrections to di-hadron production in DIS by integrating out one of the three final state partons.

Comments: 5 pages, 6 figures
Subjects: High Energy Physics – Phenomenology (hep-ph)
Cite as: arXiv:1604.08526 [hep-ph]
(or arXiv:1604.08526v1 [hep-ph] for this version)

Hem 2016: Non-Archimedean Reaction-Ultradiffusion Equations and Complex Hierarchic Systems

hechoenmexico

Non-Archimedean Reaction-Ultradiffusion Equations and Complex Hierarchic Systems

We initiate the study of non-Archimedean reaction-ultradiffusion equations and their connections with models of complex hierarchic systems. From a mathematical perspective, the equations studied here are the p-adic counterpart of the integro-differential models for phase separation introduced by Bates and Chmaj. Our equations are also generalizations of the ultradiffusion equations on trees studied in the 80’s by Ogielski, Stein, Bachas, Huberman, among others, and also generalizations of the master equations of the Avetisov et al. models, which describe certain complex hierarchic systems. From a physical perspective, our equations are gradient flows of non-Archimedean free energy functionals and their solutions describe the macroscopic density profile of a bistable material whose space of states has an ultrametric structure. Some of our results are p-adic analogs of some well-known results in the Archimedean settting, however, the mechanism of diffusion is completely different due to the fact that it occurs in an ultrametric space.

Subjects: Mathematical Physics (math-ph)
MSC classes: 80A22, 45K05 (Primary), 46S10 (Secondary)
Cite as: arXiv:1604.06471 [math-ph]
(or arXiv:1604.06471v1 [math-ph] for this version)

HEM 2016: Second order differential realization of the Bargmann-Wigner framework for particles of any spin

hechoenmexico

Second order differential realization of the Bargmann-Wigner framework for particles of any spin

The Bargmann-Wigner (BW) framework describes particles of spin-j in terms of Dirac spinors of rank 2j, obtained as the local direct product of n Dirac spinor copies, with n=2j. Such spinors are reducible, and contain also (j,0)+(0,j)-pure spin representation spaces. The 2(2j+1) degrees of freedom of the latter are identified by a projector given by the n-fold direct product of the covariant parity projector within the Dirac spinor space. Considering totally symmetric tensor spinors one is left with the expected number of 2(2j+1) independent degrees of freedom. The BW projector is of the order 2j in the derivatives, and so are the related spin-j wave equations and associated Lagrangians. High order differential equations can not be consistently gauged, and allow several unphysical aspects, such as non-locality, acausality, ghosts and etc to enter the theory. In order to avoid these difficulties we here suggest a strategy of replacing the high order of the BW wave equations by the universal second order. To do so we replaced the BW projector by one of zeroth order in the derivatives. We built it up from one of the Casimir invariants of the Lorentz group when exclusively acting on spaces of internal spin degrees of freedom. This projector allows one to identify anyone of the irreducible sectors of the primordial rank-2j spinor, in particular (j,0)+(0,j), and without any reference to the external space-time and the four-momentum. The dynamics is then introduced by requiring the (j,0)+ (0,j) sector to satisfy the Klein-Gordon equation. The scheme allows for a consistent minimal gauging.

Subjects: High Energy Physics – Phenomenology (hep-ph); Mathematical Physics (math-ph)
Cite as: arXiv:1604.06772 [hep-ph]
(or arXiv:1604.06772v1 [hep-ph] for this version)

HEM 2016: Four-dimensional unsubtraction from the loop-tree duality

hechoenmexico

Four-dimensional unsubtraction from the loop-tree duality

We present a new algorithm to construct a purely four dimensional representation of higher-order perturbative corrections to physical cross-sections at next-to-leading order (NLO). The algorithm is based on the loop-tree duality (LTD), and it is implemented by introducing a suitable mapping between the external and loop momenta of the virtual scattering amplitudes with the external momenta of the real emission corrections. In this way, the sum over degenerate infrared states is performed at the integrand level and the cancellation of infrared divergences occurs locally without introducing subtraction counter-terms to deal with soft and final-state collinear singularities. The dual representation of ultraviolet counter-terms is also discussed in detail, in particular for self-energy contributions. The method is first illustrated with the scalar three-point function, before proceeding with the calculation of the physical cross-section for γqq¯(g), at its generalisation to multi-leg processes. The extension to next-to-next-to-leading order (NNLO) is briefly commented.

Comments: 38 pages, 7 figures
Subjects: High Energy Physics – Phenomenology (hep-ph); High Energy Physics – Theory (hep-th); Mathematical Physics (math-ph)
Report number: IFIC/15-73
Cite as: arXiv:1604.06699 [hep-ph]
(or arXiv:1604.06699v1 [hep-ph] for this version)

HEM 2016: Finite temperature QCD: Quarkonium survival at and beyond Tc and dimuon production in heavy ion collisions

hechoenmexico

Finite temperature QCD: Quarkonium survival at and beyond Tc and dimuon production in heavy ion collisions

Finite temperature QCD sum rules are applied to the behaviour of charmonium and bottonium states, leading to their survival at and beyond the critical temperature for deconfinement. Di-muon production in heavy-ion collisions in the ρ-region is also discussed.

Comments: Invited talk at the 50th anniversary of the Moriond Conference, QCD, La Thuile, Italy, 19-26 March, 2016
Subjects: High Energy Physics – Phenomenology (hep-ph); High Energy Physics – Experiment (hep-ex)
Cite as: arXiv:1604.06623 [hep-ph]
(or arXiv:1604.06623v1 [hep-ph] for this version)