2,157 research outputs found
Renormalization Group Improved Radiative Corrections to the Supersymmetric Higgs Boson Masses
The one-loop radiative corrections to the Higgs boson potential in the MSSM,
originating from the top quark and squark loops, are summed in the leading log
approximation using the renormalization group. The RG improved effective
potential is minimized and the corrections to the CP-odd and CP-even Higgs
boson masses are calculated. The resulting masses exhibit smoother top mass
dependence than those calculated without RG summation. We have also found that
for preferable values of the top mass the light Higgs mass does not exceed 100
GeV.Comment: 10 PAGES, 1 FIGURE ENCLOSED, LATE
Two-logarithm matrix model with an external field
We investigate the two-logarithm matrix model with the potential
related to an exactly solvable
Kazakov-Migdal model. In the proper normalization, using Virasoro constraints,
we prove the equivalence of this model and the Kontsevich-Penner matrix model
and construct the 1/N-expansion solution of this model.Comment: 15pp., LaTeX, no figures, reference adde
Two-dimensional Born-Infeld gauge theory: spectrum, string picture and large-N phase transition
We analyze U(N) Born-Infeld gauge theory in two spacetime dimensions. We
derive the exact energy spectrum on the circle and show that it reduces to N
relativistic fermions on a dual space. This contrasts to the Yang-Mills case
that reduces to nonrelativistic fermions. The theory admits a string theory
interpretation, analogous to the one for ordinary Yang-Mills, but with higher
order string interactions. We also demonstrate that the partition function on
the sphere exhibits a large-N phase transition in the area and calculate the
critical area. The limit in which the dimensionless coupling of the theory goes
to zero corresponds to massless fermions, admits a perturbatively exact free
string interpretation and exhibits no phase transition.Comment: 19 page
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