Skyrmions of different types

Li, Tie-zhong

doi:10.1007/bf00674024

Cited by 7 publications

(4 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The generator, of our result for this field theory is given by G = J dPx^ir,, \x)d ll r](x) + ftp \x)dod >i r](x) + mwr](x)), which is in agreement with that in Ref. [4].…”

Section: The Generator Of Gauge Transformationsupporting

confidence: 90%

Gauge Generator in Dirac Theory of Constrained System with Singular High-Order Lagrangian

Xie

1994

Commun. Theor. Phys.

View full text Add to dashboard Cite

A method is proposed for obtaining the canonical equations of motion for a system with the singular 2nd-oider Lagrangian (without introducing the La.gra.nge multipliers). The dependency between the coefficients connecting with the first class constraints in the generator of gauge transformation is obtained clearly. Some confusions in Ref. [9] are corrected. The comparison of our results with others' conclusions is given.

show abstract

“…The generator, of our result for this field theory is given by G = J dPx^ir,, \x)d ll r](x) + ftp \x)dod >i r](x) + mwr](x)), which is in agreement with that in Ref. [4].…”

Section: The Generator Of Gauge Transformationsupporting

confidence: 90%

Gauge Generator in Dirac Theory of Constrained System with Singular High-Order Lagrangian

Xie

1994

Commun. Theor. Phys.

View full text Add to dashboard Cite

show abstract

“…In other words, Dirac conjecture loses true to this dynamic system. In what follows, for generality, another counterexample is introduced with a Lagrangian [22][23][24][25][26][27] L =ẋż + xz − yż.…”

Section: Two Counterexamples To Dirac Conjecturementioning

confidence: 99%

Gauge Symmetries and Dirac Conjecture

Wang

2009

Int J Theor Phys

View full text Add to dashboard Cite

The gauge symmetries of a constrained system can be deduced from the gauge identities with Lagrange method, or the first-class constraints with Hamilton approach. If Dirac conjecture is valid to a dynamic system, in which all the first-class constraints are the generators of the gauge transformations, the gauge transformations deduced from the gauge identities are consistent with these given by the first-class constraints. Once the equivalence vanishes to a constrained system, in which Dirac conjecture would be invalid. By using the equivalence, two counterexamples and one example to Dirac conjecture are discussed to obtain defined results.

show abstract

“…where "≈" [25][26][27] different from "=" [28,29] denotes (14) limited on hyper-surface of primary constraints. Therefore, the above equations can be rewritten as…”

Section: In Extended Hamiltonian Formalismmentioning

confidence: 99%

Total Hamiltonian and Extended Hamiltonian for Constrained Hamilton Systems

Wang

Ning

et al. 2008

Int J Theor Phys

View full text Add to dashboard Cite

For constrained Hamiltonian systems, the motion equations are deduced from total Hamiltonian and extended Hamiltonian with Lagrangian multipliers depending on time t and canonical variables q i and p i . When the multipliers reduced to only depend on time t, the motion equations exactly agree with the old results. Under the same conditions (Lagrangian multipliers depend on time t and canonical variables q i and p i ), the relation equations of coefficients in the generator of gauge transformation are deduced, but the equations have an additive term besides the well-known results. This additive term is from Lagrangian multipliers depending on canonical variables, and it might perform the gauge symmetries that needs to be discussed further.

show abstract

Skyrmions of different types

Cited by 7 publications

References 11 publications

Gauge Generator in Dirac Theory of Constrained System with Singular High-Order Lagrangian

Gauge Generator in Dirac Theory of Constrained System with Singular High-Order Lagrangian

Gauge Symmetries and Dirac Conjecture

Total Hamiltonian and Extended Hamiltonian for Constrained Hamilton Systems

Contact Info

Product

Resources

About