Existence of Production Amplitudes for a Neutral Scalar Field without Pairing Symmetry

1968 ◽  
Vol 166 (5) ◽  
pp. 1828-1832 ◽  
Author(s):  
Franklin F. K. Cheung
Keyword(s):  
Scalar Field ◽  
Pairing Symmetry ◽  
Neutral Scalar

scholarly journals The Casimir energy anomaly for a point interaction

2020 ◽  
Vol 35 (03) ◽  
pp. 2040008
Author(s):  
Davide Fermi
Keyword(s):  
Scalar Field ◽  
Casimir Energy ◽  
Point Interaction ◽  
Boundary Term ◽  
Intrinsic Nature ◽  
Neutral Scalar

The Casimir energy for a massless, neutral scalar field in presence of a point interaction is analyzed using a general zeta-regularization approach developed in earlier works. In addition to a regular bulk contribution, there arises an anomalous boundary term which is infinite despite renormalization. The intrinsic nature of this anomaly is briefly discussed.

scholarly journals Chern–Simons limit of the standing wave solutions for the Schrödinger equations coupled with a neutral scalar field

2014 ◽  
Vol 266 (1) ◽  
pp. 318-342 ◽  
Author(s):  
Jongmin Han ◽  
Hyungjin Huh ◽  
Jinmyoung Seok
Keyword(s):  
Scalar Field ◽  
Standing Wave ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Wave Solutions ◽  
Neutral Scalar ◽  
Chern Simons

Spontaneous breakdown of symmetry in axiomatic theory

1965 ◽  
Vol 287 (1411) ◽  
pp. 510-518 ◽  
Keyword(s):  
Scalar Field ◽  
Broken Symmetry ◽  
Positive Energy ◽  
Linear Functionals ◽  
Axiomatic Theory ◽  
Spontaneous Breakdown ◽  
Positive Linear Functionals ◽  
Neutral Scalar ◽  
Local Operators ◽  
Conserved Current

We prove two results; the first is that it is possible to prove Goldstone’s theorem in a Wightman theory in which there is a conserved current with a meaning for a sharp time and which generates a broken symmetry. The second is that for such theories there exist infinitely many positive linear functionals on the algebra of quasi-local operators, that are Lorentz invariant and lead to a theory with positive energy. That is, we may regard the vacuum functional as non-unique. These two results are illustrated in the theory of the free massless neutral scalar field.

scholarly journals Response to an external magnetic field of the decay rate of a neutral scalar field into a charged fermion pair

2019 ◽  
Vol 99 (5) ◽  
Author(s):  
Jorge Jaber-Urquiza ◽  
Gabriella Piccinelli ◽  
Angel Sánchez
Keyword(s):  
Magnetic Field ◽  
Scalar Field ◽  
External Magnetic Field ◽  
Decay Rate ◽  
Fermion Pair ◽  
Charged Fermion ◽  
Neutral Scalar

scholarly journals A New Mechanism for Generating Particle Number Asymmetry through Interactions

2019 ◽  
Vol 2019 ◽  
pp. 1-28
Author(s):  
Takuya Morozumi ◽  
Keiko I. Nagao ◽  
Apriadi Salim Adam ◽  
Hiroyuki Takata
Keyword(s):  
Scalar Field ◽  
Particle Number ◽  
Initial Conditions ◽  
Particle Energy ◽  
Expansion Rate ◽  
Initial Time ◽  
Initial Condition ◽  
Complex Scalar ◽  
Neutral Scalar ◽  
The Universe

A new mechanism for generating particle number asymmetry (PNA) has been developed. This mechanism is realized with a Lagrangian including a complex scalar field and a neutral scalar field. The complex scalar carries U(1) charge which is associated with the PNA. It is written in terms of the condensation and Green’s function, which is obtained with two-particle irreducible (2PI) closed time path (CTP) effective action (EA). In the spatially flat universe with a time-dependent scale factor, the time evolution of the PNA is computed. We start with an initial condition where only the condensation of the neutral scalar is nonzero. The initial condition for the fields is specified by a density operator parameterized by the temperature of the universe. With the above initial conditions, the PNA vanishes at the initial time and later it is generated through the interaction between the complex scalar and the condensation of the neutral scalar. We investigate the case that both the interaction and the expansion rate of the universe are small and include their effects up to the first order of the perturbation. The expanding universe causes the effects of the dilution of the PNA, freezing interaction, and the redshift of the particle energy. As for the time dependence of the PNA, we found that PNA oscillates at the early time and it begins to dump at the later time. The period and the amplitude of the oscillation depend on the mass spectrum of the model, the temperature, and the expansion rate of the universe.

Eikonal formulation in neutral scalar field theory

1971 ◽  
Vol 34 (1) ◽  
pp. 227-236 ◽  
Author(s):  
Walter Dittrich
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Scalar Field Theory ◽  
Neutral Scalar
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