Complete factorization of equations of motion in Wess–Zumino theory

Bazeia, D.; Menezes, J.; Santos, Marcelo M.

doi:10.1016/s0370-2693(01)01224-2

Cited by 24 publications

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“…Our investigations follow the lines of the former work [15], and bring new results on the presence of domain defects in models described by one and two real scalar fields. We start investigating systems with a single real scalar field.…”

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confidence: 71%

“…They usually live in three spatial dimensions as bidimensional objects that arise in systems described by potentials that contain at least two isolated degenerate minima. They involve energy scales as different as the ones that appear in Condensed Matter [1] and in Cosmology [2].A lot of attention has been drawn recently to domain walls in field theories, in models that have been investigated under several distinct motivations [3][4][5][6][7][8][9][10][11][12][13][14][15]. A very specific motivation concerns the presence of domain walls arising in between non zero vacuum expectation values of scalar fields in supergravity [5,6].…”

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confidence: 99%

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Complete factorization of equations of motion in supersymmetric field theories

Bazeia¹,

Menezes²,

Santos³

2002

Nuclear Physics B

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We investigate bosonic sectors of supersymmetric field theories. We consider superpotentials described by one and by two real scalar fields, and we show how the equations of motion can be factorized into a family of first order Bogomol'nyi equations, so that all the topological defects are of the Bogomol'nyi-Prasad-Sommerfield type. We examine explicit models, that engender the ZN symmetry, and we identify all the topological sectors, illustrating their integrability.PACS numbers: 11.27.+d, 11.30.Pb, 11.30.Er Domain walls are defect structures that appear in diverse branches of physics. They usually live in three spatial dimensions as bidimensional objects that arise in systems described by potentials that contain at least two isolated degenerate minima. They involve energy scales as different as the ones that appear in Condensed Matter [1] and in Cosmology [2].A lot of attention has been drawn recently to domain walls in field theories, in models that have been investigated under several distinct motivations [3][4][5][6][7][8][9][10][11][12][13][14][15]. A very specific motivation concerns the presence of domain walls arising in between non zero vacuum expectation values of scalar fields in supergravity [5,6]. Another line deals with the formation of defects inside domain walls [7][8][9]. A great deal of attention has also been drawn to SU (N ) supersymmetric gluodynamics, where nonperturbative effects give rise to gluino condensates that may form according to a set of N isolated degenerate chirally asymmetric vacua, from where domain walls spring interpolating between pairs of vacua [10].The interest in domain walls in general widens because of the interplay between Field Theory and the low energy world volume dynamics of branes in String Theory [16][17][18][19]. In the case of intersection of defects, in particular in Ref.[12] some aspects of wall junctions have been investigated when the discrete symmetry is the Z N symmetry, in systems described by a single complex field, with the superpotentialThe second work in Ref.[12] has shown that the tensions of the topological defects that appear in these systems can be cast to the formwhere [N/2] is the biggest integer not bigger than N/2 itself. In Ref.[3] the same result was obtained, in an investigation concerned with exact integrability, due to the presence of infinitely many conserved currents -see also Ref.[20] for other investigations, in particular on the explicit form of the BPS solutions at large N.In the present work we examine the bosonic portion of supersymmetric theories, similar to the above models, that are of general interest to supersymmetry. Our investigations follow the lines of the former work [15], and bring new results on the presence of domain defects in models described by one and two real scalar fields. We start investigating systems with a single real scalar field. We write the Lagrangian density in the standard formis the superpotential, and W φ = dW/dφ. We search for defect structures, for static solutions of the equation of motion. ...

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confidence: 99%

Complete factorization of equations of motion in supersymmetric field theories

Bazeia¹,

Menezes²,

Santos³

2002

Nuclear Physics B

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“…This demonstration extends the result obtained in [24,25] to a complex field theory with non-canonical dynamics.…”

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confidence: 86%

“…(a) corresponding author; diegorochagranado@gmail.com In [24,25] the authors worked out the first order formalism in Wess-Zumino theory and in the bosonic sector of the supersymmetric field theory. In both papers, by means of the canonical field theory, the authors showed that not just the solutions of the first order equation solves the second-order equation of motion but the reverse path is also valid, i.e., by means of the second-order equation of motion we can reach the first-order BPS equations, under certain circumstances.…”

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Complete factorization of equations of motion for generalized scalar field theories

Bazeia¹,

Granado²,

Lima³

2017

EPL

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-We demonstrate that the complete factorization of equations of motion into first-order differential equations can be obtained for real and complex scalar field theories with non-canonical dynamics.Introduction. -In 1934, Born and Infeld (BI) proposed a nonlinear generalization of electrodynamics [1] to avoid the divergence problem with the electron self-energy. It is an important example where nonlinear dynamics may play a role and it was later shown that such action, now called DBI action [1,2], arises naturally in the context of string theory [3]. Some examples of its usage can be seen as, for instance: an effective action for the tachyon condensation [4]; a string theory model to describe the early inflationary period of the universe [5]; in cosmology a scalar DBI action can be used to describe the acceleration of the universe [6], as well as the inflationary period in the early universe [7]; models with the presence of instanton solutions [8], the description of global strings [9]; vortex solutions [10,11]; formulation of twinlike models [12] and so on. More recently, several analytical models described within the DBI context admitting kinks solutions were explored in Ref. [13]. The DBI model opened up a new road to consider non-canonical dynamics and to deal with more general forms of the kinetic term.Domain walls and branes have drawn a lot of attention to the physics community [14] and may appear when the scalar field has nonlinear dynamics as well. Some examples include: in [15] one investigates specific features of kinks and vortices; in [16][17][18][19] one studies how the modifications on the kinetic part of the Lagrangian introduce new nonlinear terms to the equations of motion, which can permit the appearance of compact solutions [16][17][18], also known as compactons [20]; in [21] the defect structure within a scalar generalized profile is studied; and in [22,23] the braneworld scenario is also investigated.

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“…This procedure was first presented by Bogomoln'yi [36] and generalized in [37][38][39]. Taking into account the boundary conditions for Hr and Wr, one gets that the minimum of energy is equal to 4=e 0 .…”

Section: A 'T Hooft-polyakov Standard Solutionmentioning

confidence: 99%

Varying-αmonopoles

2005

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We study static magnetic monopoles in the context of varying-theories and show that there is a group of models for which the 't Hooft-Polyakov solution is still valid. Nevertheless, in general static magnetic monopole solutions in varying-theories depart from the classical 't Hooft-Polyakov solution with the electromagnetic energy concentrated inside the core seeding spatial variations of the fine-structure constant. We show that Equivalence Principle constraints impose tight limits on the allowed variations of induced by magnetic monopoles which confirms the difficulty to generate significant spatial variation of the fine-structure constant found in previous works. This is true even in the most favorable case where magnetic monopoles are the source for these variations.

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Complete factorization of equations of motion in Wess–Zumino theory

Abstract: We prove that the equations of motion describing domain walls in a Wess-Zumino theory involving only one chiral matter multiplet can be factorized into first order Bogomol'nyi equations, so that all the topological defects are of the Bogomol'nyi-Prasad-Sommerfield type.

Cited by 24 publications

References 55 publications

Complete factorization of equations of motion in supersymmetric field theories

Complete factorization of equations of motion in supersymmetric field theories

Complete factorization of equations of motion for generalized scalar field theories

Varying-αmonopoles

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