Abstract
In a Ginzburg–Landau theory with n fields, the anomalous dimension of the gauge-invariant nonlocal order parameter defined by the long-distance limit of Dirac's gauge-invariant two-point function is calculated. The result is exact for all n to first order in ε≡4−d, and for all d∈(2,4) to first order in 1/n, and coincides with the previously calculated gauge-dependent exponent in the Landau gauge.
Highlights
INTRODUCTIONÒÓØ Ý Ð ÙÒ ÕÙ ÔÖ × Ö ÔØ ÓÒ Ò Ú Ö ÓÙ× ×ÓÐÙØ ÓÒ× Ú Ò ÔÖÓÔÓ× ÐÓÒ Ø Ñ Ó ÒÓØ ÐÝ Ý Ö 1⁄2 ÒÝËÛÒÖ3⁄4o Ì × ÔÖÓÔÓ× Ð× Ú Ò Ù× ØÓ.
Ø ÓÑÔÐ Ü ¬ Ð Ö ×Ô Ø Ú ÐÝo Ì Ð ×Ø Ø ÖÑ Û Ø Ô 1 Ö Ñ Ø Ö « ¬Ü × ÄÓÖ ÒØÞ1 ÒÚ Ö ÒØ Ù o Ï Ù× ÑÓ×ØÐÝ Ø ÒÓØ Ø ÓÒ Ó ×Ø Ø ×Ø Ð ¬ Ð Ø ÓÖÝ Ò ×Ô Ñ Ò1 × ÓÒ×o Ì Ö ×ÙÐØ× ÔÔÐÝ ÓÛ Ú Ö ÕÙ ÐÐÝ ØÓ ÕÙ ÒØÙÑ ¬ Ð Ø ÓÖÝ Ò ×Ô Ø Ñ Ñ Ò× ÓÒ× Ò Ø Ù Ð Ò ÓÖÑÙÐ Ø ÓÒo
ÓÖ ØÜμÁÒ Ø ÔÖ × Ò Ó ÒØ Ö Ø ÓÒ× ̧ Ø ÜÔ Ø Ø ÓÒ Ú ÐÙÜμ ÝÜ1⁄4μ × Ò ÙÒÔ Ý× Ð ÕÙ ÒØ ØÝ × Ò Ø × ÒÓØ Ò1 Ú Ö ÒØ ÙÒ Ö Ù ØÖ Ò× ÓÖÑ Ø ÓÒ×.
Summary
ÒÓØ Ý Ð ÙÒ ÕÙ ÔÖ × Ö ÔØ ÓÒ Ò Ú Ö ÓÙ× ×ÓÐÙØ ÓÒ× Ú Ò ÔÖÓÔÓ× ÐÓÒ Ø Ñ Ó ÒÓØ ÐÝ Ý Ö 1⁄2 ÒÝËÛÒÖ3⁄4o Ì × ÔÖÓÔÓ× Ð× Ú Ò Ù× ØÓ. Ø ÓÑÔÐ Ü ¬ Ð Ö ×Ô Ø Ú ÐÝo Ì Ð ×Ø Ø ÖÑ Û Ø Ô 1 Ö Ñ Ø Ö « ¬Ü × ÄÓÖ ÒØÞ1 ÒÚ Ö ÒØ Ù o Ï Ù× ÑÓ×ØÐÝ Ø ÒÓØ Ø ÓÒ Ó ×Ø Ø ×Ø Ð ¬ Ð Ø ÓÖÝ Ò ×Ô Ñ Ò1 × ÓÒ×o Ì Ö ×ÙÐØ× ÔÔÐÝ ÓÛ Ú Ö ÕÙ ÐÐÝ ØÓ ÕÙ ÒØÙÑ ¬ Ð Ø ÓÖÝ Ò ×Ô Ø Ñ Ñ Ò× ÓÒ× Ò Ø Ù Ð Ò ÓÖÑÙÐ Ø ÓÒo
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