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Nuclear Theory·nucl-th

Monday·May 21, 2018

4 papers—2 primary·2 cross-listed

All4Primary2Cross-lists2
  1. 03

    [Submitted on 16 May 2018] (cross-list from hep-ph)

    Influence of vector interactions on the favored shape of inhomogeneous chiral condensates

    Stefano Carignano🇪🇸 · Marco Schramm🇩🇪 · Michael Buballa🇩🇪

    We update a previous study of the effects of vector interactions in the Nambu--Jona-Lasinio model on the formation of inhomogeneous chiral symmetry breaking condensates. In particular, by properly considering a spatially modulated vector mean-field associated with the quark number density of the system we show that, as the value of the vector coupling increases, a chiral density wave modulation can become thermodynamically favored over a real sinusoidal modulation. This behavior is found both via a Ginzburg-Landau analysis close to the Lifshitz point, as well as with a full numerical diagonalization of the mean-field Dirac Hamiltonian at vanishing temperature.

    Comments:
    17 pages, 3 figures
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    1805.06203 [pdf]
    PRD(2018)·19 citations
  2. 04

    [Submitted on 18 May 2018] (cross-list from hep-ph)

    Transverse momentum dependent transversely polarized distributions at next-to-next-to-leading-order

    Daniel Gutierrez-Reyes🇪🇸 · Ignazio Scimemi🇪🇸 · Alexey Vladimirov🇩🇪

    We calculate the matching of the transversity and pretzelosity transverse momentum dependent distributions (TMD) on transversity collinear distribution at the next-to-next-to-leading order (NNLO). We find that the matching coefficient for pretzelosity distribution is zero, despite the matrix element for it is nontrivial. This result suggests that the pretzelosity matches a twist-4 distribution. The matching for transversity TMD distributions is provided for both parton distribution functions and fragmentation functions cases.

    Comments:
    16 pages. Mathematica files with details of the calculation are included
    Subjects:
    High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
    arXiv:
    1805.07243 [pdf]
    JHEP(2018)·47 citations

Affiliations

first authorsco-authorsvia INSPIRE