[Turkmath] Dokuz Eylul Matematik: Seminer

[cenap ozel]

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cenap

cenap.ozel at gmail.com

cenap.ozel at deu.edu.tr

On Fri, Nov 21, 2014 at 12:42 PM, cenap ozel <cenap.ozel at gmail.com> wrote:

> Değerli Üyeler
>
> 26/11/2014 Çarşamba günü saat 15.00 da Bölümümüz B206 Seminer salonunda
> İzzet Baysal Üniversitesi Fizik Bölümü ve Adalet Bakanlğı'nda araştırmacı olarak
> çalışan* İbrahim ŞENER,*
>
> "*Massive and Massless Gauge Fields Formed By Flat Connections*"
>
> başlıklı bir konuşma verecektir.
>
> Seminere herkes davetlidir.  Detayları aşağıda sunulmuştur.
>
> Saygılarımla
>
> Cenap ÖZEL
> Dokuz Eylul Univesitesi
> Fen Fakultesi Matematik Bölümü
> 35160 Tınaztepe Yerleşkesi
> Buca İzmir
>
>
> *SEMİNER*
>
> *Title: **Massive and Massless Gauge Fields Formed By Flat Connections*
>
> *Abstract: *
>
> The traditional Yang - Mills type massive gauge theories are interpreted
> in the geo-
>
> metrical frame of holomorphic vector bundles on a complex manifold of
> complex 2 -
>
> dimension. It is seen in this formalism that, although connection is flat
> the component
>
> (1, 1) of the curvature of this connection appears always owing to flat
> connections gener-
>
> ated by holomorphic structure and it is possible to write a Lagrangian
> including massive
>
> and massless gauge fields. However, the mass matrix of a massive gauge
> field on such a
>
> bundle isn’t nilpotent and this field is generated by a noncommutative
> flat connection on
>
> the same bundle, then the structure group of this bundle is non - Abelian
> complex Lie
>
> group. However, if the gauge field is massless, then this is generated by
> commutative flat
>
> connection, then the structure group of the bundle is Abelian complex Lie
> group, so that
>
> this group may be candidate for the long - range gauge fields. In this
> context, the mass
>
> matrix is generated by real harmonic matrices. The Abelian groups have
> vanishing first
>
> and second characteristic classes on the complex 2 - dimension and non -
> Abelian ones
>
> have non-vanishing first and second characteristic classes and the first
> classes determines
>
> topologically the mass of the massive gauge field.
>
> Keywords: Massive Gauge Fields; Holomorphic Vector Bundle; Flat
> Connection; Mass
>
> Matrix; Gauge Groups; Characteristic Classes.
>
>
> *Place: B206 Seminer Hall in Dokuz Eylul University Department of
> Mathematics*
>
> *Time: 26/11/2014 15.00 afternoon*
>
>
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