5,132 research outputs found
q-deformations of statistical mechanical systems and motives over finite fields
We consider q-deformations of Witt rings, based on geometric operations on
zeta functions of motives over finite fields, and we use these deformations to
construct q-analogs of the Bost-Connes quantum statistical mechanical system.
We show that the q-deformations obtained in this way can be related to Habiro
ring constructions of analytic functions over the field with one element and to
categorifications of Bost-Connes systems.Comment: 25 pages, LaTe
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Palladium-catalyzed carbon-hydrogen bond functionalization utilizing an exo-directing strategy
Transition metal catalyzed functionalization of carbon-hydrogen bonds (C−H bonds) has become an exponentially growing field. Particularly, Pd-catalyzed methods with various directing groups (DGs) have been developed for site selectivity. In addition, the use of an oxime as a DG proved to be an efficient and removable DG. However, alcohol-based directing strategies are still rare and underdeveloped. The research and development in this dissertation mainly focused on the utilization of masked alcohols as DGs for late stage diversification. With an exo-directing strategy, the syntheses of chemically differentiated vicinal diols and 2-hydroxyalkylphenol derivatives were achieved. Through a series of studies on cyclopalladation of methine groups, the first direct C−H activation complex was prepared and characterized. Additionally, a comprehensive introduction of TM-catalyzed alkylation of aromatic C−H bonds with simple olefins was illustrated.Chemistr
Tuning Co valence state in cobalt oxyhydrate superconductor by post reduction
We report a successful tuning of Co valence state in cobalt oxyhydrate
superconductor via a facile post reduction using NaOH as reducing agent. The
change in Co valence was precisely determined by measuring the volume of the
released oxygen. The possible hydronium-incorporation was greatly suppressed in
concentrated NaOH solution, making the absolute Co valence determinable. As a
result, an updated superconducting phase diagram was obtained, which shows that
the superconducting transition temperature increases monotonically with
increasing Co valence in a narrow range from +3.58 to +3.65.Comment: 17 pages, 5 figures and 1 table. Chem. Mat. in pres
Higgs Gravitational Interaction, Weak Boson Scattering, and Higgs Inflation in Jordan and Einstein Frames
We study gravitational interaction of Higgs boson through the unique
dimension-4 operator , with the Higgs doublet and the
Ricci scalar curvature. We analyze the effect of this dimensionless nonminimal
coupling on weak gauge boson scattering in both Jordan and Einstein
frames. We explicitly establish the longitudinal-Goldstone boson equivalence
theorem with nonzero coupling in both frames, and analyze the unitarity
constraints. We study the -induced weak boson scattering cross sections at
O(1-30)TeV scales, and propose to probe the Higgs-gravity coupling via weak
boson scattering experiments at the LHC(14TeV) and the next generation pp
colliders (50-100TeV). We further extend our study to Higgs inflation, and
quantitatively derive the perturbative unitarity bounds via coupled channel
analysis, under large field background at the inflation scale. We analyze the
unitarity constraints on the parameter space in both the conventional Higgs
inflation and the improved models in light of the recent BICEP2 data.Comment: 40pp, JCAP Final Version. Use jcappub.sty, only minor rewordings,
references adde
High pressure investigation of superconducting signatures in CeCuSi : ac- magnetic susceptibility and heat capacity, resistivity and thermopower
Taking advantage of a novel multiprobe setup we have measured, on a unique
sample, the ac-magnetic susceptibility, the resistivity, the ac-specific heat
and the thermopower of the superconductor heavy fermion CeCuSi
under pressure up to 5.1 GPa. At the superconducting transition temperature
, the Meissner signal corresponds to that expected for the sample volume
and coincides with the specific heat jump and the resistive transition
completion temperatures. Differing from previous observations, here the
susceptibility measurements did not reveal any anomaly in the vicinity of the
resistive transition onset
Gravitational Interaction of Higgs Boson and Weak Boson Scattering
With the LHC discovery of a 125 GeV Higgs-like boson, we study gravitational
interaction of the Higgs boson via the unique dimension-4 operator involving
Higgs doublet and scalar curvature, , with nonminimal
coupling . This Higgs portal term can be transformed away in Einstein
frame and induces gauge-invariant effective interactions in the Higgs sector.
We study the weak boson scattering in Einstein frame, and explicitly
demonstrate the longitudinal-Goldstone boson equivalence theorem in the
presence of coupling. With these, we derive unitarity bound on the
Higgs gravitational coupling in Einstein frame, which is stronger
than that inferred from the current LHC Higgs measurements. We further study
-dependent weak boson scattering cross sections at TeV scale, and propose
a new LHC probe of the Higgs-gravity coupling via weak boson
scattering experiments.Comment: 7pp, Phys.Rev.D Published Version. All results + conclusions
un-changed. Only minor rewording to clarify the Importance of this wor
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