ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    The existence of a non-minimal solution to the SU (2) Yang-Mills-Higgs equations on ℝ3. Part I (1982)
    Springer
    Communications in mathematical physics 86 (1982), S. 257-298 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract This paper (Part I) and the sequel (Part II) prove the existence of a smooth, non-trivial, finite action solution to the SU (2) Yang-Mills-Higgs equations on ℝ3 in the Bogomol'nyi-Prasad-Sommerfield limit. The proof uses a simple form of Morse theory known as Ljusternik-Šnirelman theory. Part I establishes that a form of Lusternik-Šnirelman theory is applicable to the SU (2) Yang-Mills-Higgs equations. Here, a sufficient condition for the existence of the aforementioned solution is derived. Part II contains the completed existence proof. There it is demonstrated that the sufficient condition of Part I is satisfied by the SU (2) Yang-Mills-Higgs equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01206014
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    On Witten's proof of the positive energy theorem (1982)
    Springer
    Communications in mathematical physics 84 (1982), S. 223-238 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract This paper gives a mathematically rigorous proof of the positive energy theorem using spinors. This completes and simplifies the original argument presented by Edward Witten. We clarify the geometric aspects of this argument and prove the necessary analytic theorems concerning the relevant Dirac operator.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01208569
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Monopoles and maps fromS 2 toS 2; the topology of the configuration space (1984)
    Springer
    Communications in mathematical physics 95 (1984), S. 345-391 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The configuration space for the SU(2)-Yang-Mills-Higgs equations on ℝ3 is shown to be homotopic to the space of smooth maps fromS 2 toS 2. This configuration space indexes a family of twisted Dirac operators. The Dirac family is used to prove that the configuration space does not retract onto any subspace on which the SU(2)-Yang-Mills-Higgs functional is bounded.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01212403
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Min-max theory for the Yang-Mills-Higgs equations (1985)
    Springer
    Communications in mathematical physics 97 (1985), S. 473-540 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract In each monopole sector there exist an infinite number of finite energy solutions to the Prasad-Sommerfield limit of the SU(2) Yang-Mills-Higgs equations on ℝ3 whose energy is greater than any finite number.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01221215
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on ℝ3: Part II (1982)
    Springer
    Communications in mathematical physics 86 (1982), S. 299-320 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract This paper proves that there exists a finite action solution to the SU(2) Yang-Mills-Higgs equations on ℝ3 in the Bogomol'nyi-Prasad-Sommerfield limit which is not a solution to the first order Bogonol'nyi equations. The existence is established using Ljusternik-Šnirelman theory on non-contractible loops in the configuration space.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01212170
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 6
    Electronic Resource
    Electronic Resource
    Stability in Yang-Mills theories (1983)
    Springer
    Communications in mathematical physics 91 (1983), S. 235-263 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract At a solution of the Yang-Mills equations onS 4, or the Yang-Mills-Higgs equation on ℝ3, the hessian of the action functional defines a natural second order, elliptic operator. The number of negative eigenvalues of this operator is bounded below by a multiple of the relevant topological charge. The proof of this assertion requires a relative index theorem for Dirac-type operators on ℝ n ,n≧3.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01211160
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 7
    Electronic Resource
    Electronic Resource
    O(2) symmetric connections in an SU(2) Yang-Mills theory (1979)
    Springer
    Communications in mathematical physics 69 (1979), S. 179-193 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The general O(2) symmetric Yang-Mills equations are derived. An ansatz for O(2) symmetric merons is presented and it is shown that any connection in this ansatz will have SU(2) topological charge density which is a sum of delta functions at points in a plane with weights ± 1/2. It is shown that any connection in this ansatz will beC ∞ away from these points.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01221447
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 8
    Electronic Resource
    Electronic Resource
    Surface integrals and monopole charges in non-abelian gauge theories (1981)
    Springer
    Communications in mathematical physics 81 (1981), S. 299-311 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We derive a formula which gives all the magnetic charges (topological invariants) of a monopole in the adjoint representation of a non-abelian gauge theory in terms of surface integrals at infinity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01209069
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 9
    Electronic Resource
    Electronic Resource
    S 1 actions and elliptic genera (1989)
    Springer
    Communications in mathematical physics 122 (1989), S. 455-526 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A proof is given of Witten's conjectures for the rigidity of the index of the Dirac-Ramond operator on the loop space of a spin manifold which admits anS 1 symmetry.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01238437
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 10
    Electronic Resource
    Electronic Resource
    ArbitraryN-vortex solutions to the first order Ginzburg-Landau equations (1980)
    Springer
    Communications in mathematical physics 72 (1980), S. 277-292 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We prove that a set ofN not necessarily distinct points in the plane determine a unique, real analytic solution to the first order Ginzburg-Landau equations with vortex numberN. This solution has the property that the Higgs field vanishes only at the points in the set and the order of vanishing at a given point is determined by the multiplicity of that point in the set. We prove further that these are the onlyC ∞ solutions to the first order Ginzburg-Landau equations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01197552
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...