An effective Lagrangian for the light quark in the field of a static source is derived systematically using the exact field correlator expansion. The lowest Gaussian term is bosonized using nonlocal colorless bosonic fields and a general structure of effective chiral Lagrangian is obtained containing all set of fields. The new and crucial result is that the condensation of scalar isoscalar fiel...

Generating the ground state of a free massive scalar bosonic quantum field theory: two algorithms with nearly optimal runtimes are devised, delivering super-quadratic speedup over state-of-the-art.

The correspondences proposed previously between higher spin gauge theories and free singleton field theories were recently extended into a more complete picture by Klebanov and Polyakov in the case of the minimal bosonic theory inD = 4 to include the strongly coupled fixed point of the 3d O(N) vector model. Here we propose an N = 1 supersymmetric version of this picture. We also elaborate on th...

The lump solution of φ field theory provides a toy model for unstable D-branes of bosonic string theory. The field theory living on this lump is itself a cubic field theory involving a tachyon, two additional scalar fields, and a scalar field continuum. Its action can be written explicitly because the fluctuation spectrum of the lump turns out to be governed by a solvable Schroedinger equation;...

 Casimir entropy is an important aspect of casimir effect and at the nanoscale is visible. In this paper, we employ the path integral method to ‎obtain a‎ ‎general‎ relation for casimir entropy and ‎i‎nternal energy of arbitrary shaped objects in the presence of two, three and four dimension scalar fields and ‎the‎ electromagnetic field. For this purpose, using Lagrangian and based on a perturb...

We give the curvatures of the free differential algebra (FDA) of M–theory compactified to D = 4 on a twisted seven–torus with the 4–form flux switched on. Two formulations are given, depending on whether the 1–form field strengths of the scalar fields (originating from the 3–form gauge fieldˆA (3)) are included or not in the FDA. We also give the bosonic equations of motion and discuss at lengt...

Negative energy densities in the Dirac field produced by state vectors that are the superposition of two single particle electron states are examined. I show that for such states the energy density of the field is not bounded from below and that the quantum inequalities derived for scalar fields are satisfied. I also show that it is not possible to produce negative energy densities in a scalar ...

We examine non-thermal dark matter production from a late-decaying scalar field, with a particular attention on non-renormalizable operators of D = 5 through which the scalar field decays into the standard model particles and their superpartners. We show that almost the same number of superparticles as that of particles are generally produced from the decay. To avoid the gravitino overproductio...

The (pre)multisymplectic geometry of the De Donder--Weyl formalism for field theories is further developed a variety including scalar theory from canonical Klein-Gordon action, electric and magnetic Carrollian theories, bosonic string Nambu-Goto $2+1$ gravity as Chern-Simons theory. Lagrangians are found to be singular in sense while Lagrangian regular. Furthermore, constraint structure premult...

We quantize in light cone gauge the bosonic sector of string theory on Anti-de Sitter space in the zero curvature radius limit. We find that the worldsheet falls apart into a theory of free partons and map the Hilbert space of the string theory to the Hilbert space of a free scalar in light-front description. We outline how the string worldsheet reproduces the field theory at weak coupling.