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Using the non-symmetric-connection approach proposed by Osborn, we demonstrate that, for a bosonic string in a specially chosen plane-fronted gravitational wave and an axion background, the conformal anomaly vanishes at the two-loop level.…

High Energy Physics - Theory · Physics 2009-11-10 C. Duval , Z. Horvath , P. A. Horvathy

The necessity of accurately taking into account the existence of nonequivalent operator representations, associated with canonical transformations, is discussed. It is demonstrated that Bose systems in the presence of the Bose-Einstein…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov

It is possible to describe fermionic phases of matter and spin-topological field theories in 2+1d in terms of bosonic "shadow" theories, which are obtained from the original theory by "gauging fermionic parity". The fermionic/spin theories…

Strongly Correlated Electrons · Physics 2017-05-24 Lakshya Bhardwaj , Davide Gaiotto , Anton Kapustin

Reducible gauge theories with constraints linear in the momenta are quantized. The equivalence of the reduced phase space quantization, Dirac quantization and BRST quantization is established. The ghosts of ghosts are found to play a…

High Energy Physics - Theory · Physics 2014-11-18 R. Ferraro , M. Henneaux , M. Puchin

We reformulate bosonic boundary string field theory in terms of boundary state. In our formulation, we can formally perform the integration of target space equations of motion for arbitrary field configurations without assuming decoupling…

High Energy Physics - Theory · Physics 2010-10-27 Shunsuke Teraguchi

Using the data of eigenvalues and eigenvectors of Neumann matrices in the 3-string vertex, we prove analytically that the ghost kinetic operator of vacuum string field theory obtained by Hata and Kawano is equal to the ghost operator…

High Energy Physics - Theory · Physics 2009-11-07 Kazumi Okuyama

The covariant canonical method of quantization based on the De Donder-Weyl covariant canonical formalism is used to formulate a world-sheet covariant quantization of bosonic strings. To provide the consistency with the standard…

High Energy Physics - Theory · Physics 2009-01-07 H. Nikolic

The theory of relativistic strings is considered in frames of Hamiltonian formalism and Dirac's quantization procedure. A special gauge fixing condition is formulated, related with the world sheet of the string in Lorentz-invariant way. As…

High Energy Physics - Theory · Physics 2007-05-23 Igor Nikitin

We bosonize the low energy excitations of Fermi Liquids in any number of dimensions in the limit of long wavelengths. The bosons are coherent superposition of electron-hole pairs and are related with the displacement of the Fermi Surface in…

Condensed Matter · Physics 2009-10-22 A. H. Castro Neto , Eduardo Fradkin

Two-point tree-level amplitudes in bosonic closed string theory are described by a correlation function within the BRST formalism, which respects manifest Lorentz and conformal invariance. In the derivation of the two-point amplitudes, we…

High Energy Physics - Theory · Physics 2024-02-13 Isao Kishimoto , Shigenori Seki , Tomohiko Takahashi

The covariant quantization and light cone quantization formalisms are followed to construct the coherent states of both open and closed bosonic strings. We make a systematic and straightforward use of the original definition of coherent…

High Energy Physics - Theory · Physics 2021-09-23 Mir Hameeda , M. C. Rocca

We show how the Zak $kq$-representation can be adapted to deal with pseudo-bosons, and under which conditions. Then we use this representation to prove completeness of a discrete set of bi-coherent states constructed by means of…

Mathematical Physics · Physics 2017-01-19 Fabio Bagarello

Starting from the Nambu-Goto bosonic string, a four dimensional superstring model is constructed using the equivalence of one boson to two Majorana-Weyl fermions. The conditions of anomaly cancellation in a 'heterotic' string theory lead to…

High Energy Physics - Theory · Physics 2011-02-02 B. B. Deo , P. K. Jena

The behavior of quenched Dirac spectra of two-dimensional lattice QCD is consistent with spontaneous chiral symmetry breaking which is forbidden according to the Coleman-Mermin-Wagner theorem. One possible resolution of this paradox is…

High Energy Physics - Lattice · Physics 2016-05-12 M. Kellerstein , K. Splittorff , J. J. M. Verbaarschot

We explore the hierarchy of hidden space-time symmetries of noncritical strings in RNS formalism, realized nonlinearly. Under these symmetry transformations the variation of the matter part of the RNS action is cancelled by that of the…

High Energy Physics - Theory · Physics 2008-11-26 Dimitri Polyakov

We study the bosonization of massless fermions in three-dimensional space-time. Using the path-integral approach as well as the operator formalism, we investigate new duality relations between fermionic and bosonic theories. In particular,…

High Energy Physics - Theory · Physics 2013-08-09 E. F. Moreno , F. A. Schaposnik

I explore the possibility of finding an equivalent string representation of two dimensional QCD. I develop the large N expansion of the ${\rm QCD_2}$ partition function on an arbitrary two dimensional Euclidean manifold. If this is related…

High Energy Physics - Theory · Physics 2009-10-22 David J. Gross

We generalize the Jackiw-Rebbi-Hasenfratz-'t Hooft construction of fermions from bosons to demonstrate the fermionic nature of certain bound states involving SU(N) instantons in even spatial dimensions and SO(N) instantons in $8k+1$ spatial…

High Energy Physics - Theory · Physics 2009-11-07 Justin R. David , Shiraz Minwalla , Carlos Nunez

We study quasi-finite representation of the $\Winf$ algebra recently proposed by Kac and Radul. When the central charge is integer, we show that they are represented by free fermions and bosonic ghosts. There are some nontrivial…

High Energy Physics - Theory · Physics 2009-10-22 Y. Matsuo

By using zero-norm states in the spectrum, we explicitly demonstrate the existence of an infinite number of high energy symmetry structures of the closed bosonic string theory. Each symmetry transformation (except those generated by…

High Energy Physics - Theory · Physics 2009-11-11 Jen-Chi Lee
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