Supersymmetry on the lattice
Alessandra Feo (Trinity College Dublin)🇮🇪
Lattice results in supersymmetry are summarized. Past, present and future perspectives are discussed.
HEP Lattice·hep-lat
4 papers—2 primary·2 cross-listed·reconstructed*
Alessandra Feo (Trinity College Dublin)🇮🇪
Lattice results in supersymmetry are summarized. Past, present and future perspectives are discussed.
Srinath Cheluvaraja🇺🇸 · Richard W. Haymaker🇺🇸 · Takayuki Matsuki🇯🇵
We show that the dual Abrikosov vortex between quark and antiquark in Abelian Projected SU(2) gauge theory is insensitive to truncation of all loops except the large monopole cluster noted by Hart and Teper. As the transverse distance increases, the discrepancy decreases, suggesting that the London penetration depth determined by the tail is invariant under the truncation of short loops.
Nick E. Mavromatos🇬🇧 · Sarben Sarkar (King's Coll. London)🇬🇧
Starting from a microscopic t-J like model and a SU(2) spin-charge separation ansatz, a relativistic continuum gauge lagrangian is obtained in the vicinity of a nodal point of the Fermi surface. The excitations in the pseudogap phase are described by topological excitations in the dual model which has a Z_2 global symmetry due to the effect of instantons. Confinement of spinon and holons emerge from this picture. The adjoint and fundamental strings are associated with stripes. As the spin gap decreases a local Z_2 symmetry emerges.
Noriyoshi Ishii (Wako, RIKEN)🇯🇵 · Hideo Suganuma (Tokyo Inst. Tech.)🇯🇵
We study the QCD phase transition based on the statistical treatment with the bag-model picture of hadrons, and derive a phenomenological relation among the low-lying hadron masses, the hadron sizes and the critical temperature of the QCD phase transition. We apply this phenomenological relation to both full QCD and quenched QCD, and compare these results with the corresponding lattice QCD results. Whereas such a statistical approach works well in full QCD, it results in an extremely large estimate of the critical temperature in quenched QCD, which indicates a serious problem in understanding of the QCD phase transition. This large discrepancy traces back to the fact that enough number of glueballs are not yet thermally excited at the critical temperature T_c \simeq 280 MeV in quenched QCD due to the extremely small statistical factor as exp(-m_G/T_c) \simeq 0.00207. This fact itself has a quite general nature independent of the particular choice of the effective model framework. We are thus arrive at a mystery, namely, what is really the trigger of the deconfinement phase transition.
* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.