On gauging — from a mechanical point of view

✍ Scribed by H. Günther

• Publisher: John Wiley and Sons
• Year: 1986
• Tongue: English
• Weight: 96 KB
• Volume: 307
• Category: Article
• ISSN: 0004-6337
• DOI: 10.1002/asna.2113070532

✦ Synopsis

On gaugingfrom a mechanical point of view ~'ontiiiuunr rireclr:iiiics 01 tlislocationh appears to I)c mi a1q)rol)riatc 1lrc.ory lor uiakiiig I 1 ~~1 1 1 s ~~i i r ~~i 1 1 1 IIC tiiwiiing ~l gCi~ifie lleltl procedures in it.

I he strcss functioti approach lo tlic thcory I)roduccs ;I freedom of pliasc traiislorniatioiis giviiig tlir coiiservatiuir of cliargc, rci)J-cxnted licrc by thc dislocation. f-lowcvcr, by minimal coupling neither this charge nor its iiclcl are cnlorcecl. only t1ic.y arc conipatiblc witli llrr theory. This means, the dislocation beconies the coupling constant for mechanical long-rangc interaction. Since this coupling appears to be a universal one for continuurn mechanics it can be givfn a pure geometrical meaniug. In this way the minimal coupling can be explained in terms of geometry by covariant derivatives. In &her 'cases this will not be possible -(elastic diel6ctrics 'for instance).' The coupling constant only translates tlic influcncc o f a spcci;il internal syniniclry 011 space-time by gauge-invariaiit derivatives .~iiiiiiiiiizing tlic influencr of a ncw [icltl on a givcn equation.