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We construct the effective field theory of the Calogero-Sutherland model in the thermodynamic limit of large number of particles $N$. It is given by a $\winf$ conformal field theory (with central charge $c=1$) that describes {\it exactly}…

High Energy Physics - Theory · Physics 2009-10-28 R. Caracciolo , A. Lerda , G. R. Zemba

Two-dimensional quantum field theories are important in many problems in physics because they contain exact symmetries and are often completely integrable. We demonstrate the power of bosonization in elucidating the structure of a…

General Physics · Physics 2014-07-09 Yuan K. Ha

This chapter is a non-expert introduction to the effective field theory of large scale structure. First, we give a detailed pedagogical explanation of why previous attempts to build non-linear cosmological perturbation theory failed. After…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-19 Mikhail M. Ivanov

One-loop effective action of noncommutative scalar field theory with cubic self-interaction is studied. Utilizing worldline formulation, both planar and nonplanar part of the effective action are computed explicitly. We find complete…

High Energy Physics - Theory · Physics 2011-09-13 Youngjai Kiem , Soo-Jong Rey , Haru-Tada Sato , Jung-Tay Yee

We investigate the problem of derivation of consistent equations of motion for the massive spin 2 field interacting with gravity within both field theory and string theory. In field theory we derive the most general classical action with…

High Energy Physics - Theory · Physics 2009-10-31 I. L. Buchbinder , V. A. Krykhtin , V. D. Pershin

We reconstruct a complete type II superstring field theory with L-infinity structure in a symmetric way concerning the left- and right-moving sectors. Based on the new construction, we show again that the tree-level S-matrix agrees with…

High Energy Physics - Theory · Physics 2021-09-15 Hiroshi Kunitomo

Effective field theory (EFT) methods for a uniform system of fermions with short-range, natural interactions are extended to include pairing correlations, as part of a program to develop a systematic Kohn-Sham density functional theory…

Nuclear Theory · Physics 2008-11-26 R. J. Furnstahl , H. -W. Hammer , S. J. Puglia

We consider a free massless scalar field coupled to an infinite tower of background higher-spin gauge fields via minimal coupling to the traceless conserved currents. The set of Abelian gauge transformations is deformed to the non-Abelian…

High Energy Physics - Theory · Physics 2011-02-22 Xavier Bekaert , Euihun Joung , Jihad Mourad

Liouville field theory is quantized by means of a Wilsonian effective action and its associated exact renormalization group equation. For $c<1$, an approximate solution of this equation is obtained by truncating the space of all action…

High Energy Physics - Theory · Physics 2007-05-23 M. Reuter

We study the simplest geometrical particle model associated with null paths in four-dimensional Minkowski space-time. The action is given by the pseudo-arclength of the particle worldline. We show that the reduced classical phase space of…

High Energy Physics - Theory · Physics 2009-10-31 Armen Nersessian , Eduardo Ramos

Presented is a quantum computing model of a quantum field theory for a system of fermions interacting via a massive gauge field. The model describes a relativistic superconducting fluid and uses a metric tensor field to both encode the…

Quantum Physics · Physics 2018-02-06 Jeffrey Yepez

Effective Lagrangians containing arbitrary interactions of massive vector fields are quantized within the Hamiltonian path integral formalism. It is proven that correct Hamiltonian quantization of these models yields the same result as…

High Energy Physics - Phenomenology · Physics 2009-10-22 Carsten Grosse-Knetter

We present the one-loop effective action of a quantum scalar field with DSR1 space-time symmetry as a sum over field modes. The effective action has real and imaginary parts and manifest charge conjugation asymmetry, which provides an…

High Energy Physics - Theory · Physics 2009-11-11 M V Cougo-Pinto , C Farina , F S S Rosa , J F M Mendes

We study the quantization of systems that contain both ordinary fields with a positive norm and their counterparts obeying different statistics. The systems have novel fermionic symmetries different from the space-time supersymmetry and the…

High Energy Physics - Theory · Physics 2015-02-24 Yoshiharu Kawamura

We describe how to construct and compute unambiguously path integrals for particles moving in a curved space, and how these path integrals can be used to calculate Feynman graphs and effective actions for various quantum field theories with…

High Energy Physics - Theory · Physics 2007-05-23 Fiorenzo Bastianelli

The worldline approach to Quantum Field Theory (QFT) allows to efficiently compute several quantities, such as one-loop effective actions, scattering amplitudes and anomalies, which are linked to particle path integrals on the circle. A…

High Energy Physics - Theory · Physics 2018-11-07 Olindo Corradini , Maurizio Muratori

We extend the worldline description of vector and antisymmetric tensor fields coupled to gravity to the massive case. In particular, we derive a worldline path integral representation for the one-loop effective action of a massive…

High Energy Physics - Theory · Physics 2009-11-11 Fiorenzo Bastianelli , Paolo Benincasa , Simone Giombi

A phenomenon of classical quantization is discussed. This is revealed in the class of pseudoclassical gauge systems with nonlinear nilpotent constraints containing some free parameters. Variation of parameters does not change local (gauge)…

High Energy Physics - Theory · Physics 2009-10-30 Khazret Nirov , Mikhail Plyushchay

We study the macroscopic dynamics of fermion and quantum-spin systems with long-range, or mean-field, interactions, which turns out to be equivalent to an intricate combination of classical and short-range quantum dynamics. In this paper we…

Mathematical Physics · Physics 2020-09-14 J. -B. Bru , W. de Siqueira Pedra

Employing induced representations of the Lorentz group (Wigner's little group construction), formalism for constructing heavy particle effective Lagrangians is developed, and Lagrangian constraints enforcing Lorentz invariance of the S…

High Energy Physics - Phenomenology · Physics 2013-05-30 Johannes Heinonen , Richard J. Hill , Mikhail P. Solon
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