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20022009
most citedMaking Sense of Non-Hermitian Hamiltonians

3k citations

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13 papers · 1 filter

hep-th20099 cited

Small- behavior of the Non-Hermitian PT-Symmetric Hamiltonian

Carl M. Bender, Karim Besseghir, Hugh F. Jones +1

The energy eigenvalues of the class of non-Hermitian PT-symmetric Hamiltonians () are real, positive, and discrete. The behavior of these eigenvalues has…

hep-th200926 cited

Nonunique C operator in PT Quantum Mechanics

Carl M. Bender, S. P. Klevansky

The three simultaneous algebraic equations, , , , which determine the operator for a non-Hermitian -symmetric Hamiltonian , are shown to have a…

hep-th200965 cited

Phase diagrams of SU(N) gauge theories with fermions in various representations

Joyce C. Myers, Michael C. Ogilvie

We minimize the one-loop effective potential for SU(N) gauge theories including fermions with finite mass in the fundamental (F), adjoint (Adj), symmetric (S), and antisymmetric (A…

hep-th200820 cited

Fitting oscillating string gas cosmology to supernova data

Francesc Ferrer, Tuomas Multamaki, Syksy Rasanen

In string gas cosmology, extra dimensions are stabilised by a gas of strings. In the matter-dominated era, competition between matter pushing the extra dimensions to expand and the…

hep-th20087 cited

PT Symmetry and QCD: Finite Temperature and Density

Michael C. Ogilvie, Peter N. Meisinger

The relevance of PT symmetry to quantum chromodynamics (QCD), the gauge theory of the strong interactions, is explored in the context of finite temperature and density. Two signifi…

hep-th20081 cited

The Large-N Limit of PT-Symmetric O(N) Models

Hiromichi Nishimura, Michael Ogilvie

We study a -symmetric quantum mechanical model with an O(N)-symmetric potential of the form using its equivalent Hermitian form. Altho…