UNDERSTANDING SOLITONS ALGEBRAICALLY

1992 ◽  
Vol 07 (36) ◽  
pp. 3403-3410 ◽  
Author(s):  
ZVONIMIR HLOUSEK ◽  
DONALD SPECTOR
Keyword(s):  
Equations Of Motion ◽  
Field Theories ◽  
Topological Solitons ◽  
Model Independent ◽  
Central Result

We describe techniques we have developed to analyze the physics of topological solitons in a model-independent way. Our central result is to show that topological solitons in generic field theories exhibit Bogomol’nyi bounds and Bogomol’nyi equations. Our methods turn the derivation of these Bogomol’nyi relationships into algebraic calculations and do not depend on the particular equations of motion. We present a discussion of the O(3) nonlinear σ-model as an example of our techniques.

scholarly journals Why Baryons are not Skyrmions

1988 ◽  
Vol 41 (1) ◽  
pp. 11 ◽  
Author(s):  
RT Cahill ◽  
CD Roberts ◽  
J Praschifka
Keyword(s):  
Critical Analysis ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Topological Solitons

We present a critical analysis of the Skyrmion model for baryons. Using model quantum field theories we determine the origin of meson chiral effective actions and show that Skyrmions, i.e. chiral topological solitons of these effective actions, cannot be related to baryons and that indeed Skyrmions in these models are unstable.

scholarly journals MODEL INDEPENDENT RESULTS FOR HEAVY QUARKONIUM

2004 ◽  
Vol 19 (21) ◽  
pp. 1563-1576
Author(s):  
JOAN SOTO
Keyword(s):  
Effective Field Theories ◽  
Effective Field ◽  
Field Theories ◽  
Heavy Quarkonium ◽  
Potential Models ◽  
Inclusive Decays ◽  
Model Independent ◽  
Relativistic Potential ◽  
Effective Theories

We review a number of results for the spectrum and inclusive decays of heavy quarkonium systems which can be derived from QCD under well controlled approximations. They essentially follow from the hierarchy of scales in these systems, which can be efficiently exploited using non-relativistic effective field theories. In particular, we discuss under which conditions non-relativistic potential models emerge as effective theories of QCD.

scholarly journals 2, 84, 30, 993, 560, 15456, 11962, 261485, . . .: higher dimension operators in the SM EFT

2017 ◽  
Vol 2017 (8) ◽  
Author(s):  
Brian Henning ◽  
Xiaochuan Lu ◽  
Tom Melia ◽  
Hitoshi Murayama
Keyword(s):  
Equations Of Motion ◽  
Companion Paper ◽  
Effective Field ◽  
Conformal Group ◽  
Field Theories ◽  
Irreducible Representations ◽  
Higher Dimension ◽  
The Standard Model ◽  
Mass Dimension ◽  
Fermion Generation

Abstract In a companion paper [1], we show that operator bases for general effective field theories are controlled by the conformal algebra. Equations of motion and integration by parts identities can be systematically treated by organizing operators into irreducible representations of the conformal group. In the present work, we use this result to study the standard model effective field theory (SM EFT), determining the content and number of higher dimension operators up to dimension 12, for an arbitrary number of fermion generations. We find additional operators to those that have appeared in the literature at dimension 7 (specifically in the case of more than one fermion generation) and at dimension 8. (The title sequence is the total number of independent operators in the SM EFT with one fermion generation, including hermitian conjugates, ordered in mass dimension, starting at dimension 5.)

ASPECTS OF Q-MATTER STABILITY

1992 ◽  
Vol 07 (28) ◽  
pp. 7169-7184 ◽  
Author(s):  
MINOS AXENIDES
Keyword(s):  
Order Parameter ◽  
Mass Matrix ◽  
Equations Of Motion ◽  
Finite Energy ◽  
Field Theories ◽  
Strong Interactions ◽  
Mass Relation ◽  
Bosonic Field ◽  
Meson Octet ◽  
Continuous Symmetries

Relativistic bosonic field theories in 3+1 dimensions with exact global continuous symmetries and conserved charges Q may admit stable, finite energy, time dependent configurations (Q-balls) as solutions to their equations of motion. Previous work established their existence for both Abelian and non-Abelian symmetries. In the present work we elaborate on some more issues of stability and uniqueness that arise in the SO(3) and SU(3) renormalizable models. We consider the effect of explicit symmetry breaking in the spectrum of the SU(3) model, by identifying its order parameter with the meson octet and by choosing a mass matrix consistent with the Gell-Mann-Okubo mass relation. We demonstrate the existence of “isospin” and “strange” balls whose stability is due to the presence of residual global symmetries which are identified with the exact symmetries of isospin and strangeness of strong interactions.

scholarly journals Goldstones with extended shift symmetries

2014 ◽  
Vol 23 (13) ◽  
pp. 1443001 ◽  
Author(s):  
Kurt Hinterbichler ◽  
Austin Joyce
Keyword(s):  
Scalar Field ◽  
Lower Order ◽  
Degrees Of Freedom ◽  
Equations Of Motion ◽  
Higher Order ◽  
Field Theories ◽  
Relativistic Case ◽  
Goldstone Bosons

We consider scalar field theories invariant under extended shift symmetries consisting of higher order polynomials in the spacetime coordinates. These generalize ordinary shift symmetries and the linear shift symmetries of the galileons. We find Wess–Zumino Lagrangians which transform up to total derivatives under these symmetries, and which possess fewer derivatives per field and lower order equations of motion than the strictly invariant terms. In the nonrelativistic context, where the extended shifts are purely spatial, these theories may describe multi-critical Goldstone bosons. In the relativistic case, where the shifts involve the full spacetime coordinate, these theories generally propagate extra ghostly degrees of freedom.

scholarly journals Complete factorization of equations of motion for generalized scalar field theories

2017 ◽  
Vol 119 (6) ◽  
pp. 61002 ◽  
Author(s):  
D. Bazeia ◽  
Diego R. Granado ◽  
Elisama E. M. Lima
Keyword(s):  
Scalar Field ◽  
Equations Of Motion ◽  
Field Theories ◽  
Complete Factorization
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