YANG-MILLS GAUGE INVARIANT THEORY FOR SPACE CURVED ELECTROMAGNETIC FIELD

Abstract. It was proposed new gauge invariant Lagrangian, where the gauge field interact with the charged electromagnetic fields. Gauge invariance was archived by replacing of particle mass with new one invariant of the field FµνFµν multiplied with calibration constant αg. It was shown that new pro-posed Lagrangian generates similar Dirac and electromagnetic field equations. Solution of Dirac equations for a free no massless particle answers to the ’ques-tion of the age ’ why free particle deal in experiments like a de Broil wave. Resulting wave functions of the new proposed Lagrangian will describe quan-tized list of bespinor particles of different masses. Finally, it was shown that renormalization of the new proposed Lagrangian is similar to QED in case similarity of new proposed Lagrangian to classic QED. 1