Topological Effects in Medium

INTRODUCTION 109 CHEMICAL POTENTIAL 112 CHIRAL ANOMALY. QUALITATIVE CONSIDERATION 113 CHIRAL ANOMALY AT FINITE TEMPERATURE AND DENSITY 116 Two Dimensions. 116 Four Dimensions. 118 CHERNASIMONS IN EVEN DIMENSIONAL THEORY 120 CHERNASIMONS IN THREE-DIMENSIONAL THEORY 126 Constant Magnetic Field. 126 Arbitrary External Field. 132 CHERNASIMONS TERM IN ARBITRARY ODD DIMENSION 134 NONRELATIVISTIC CONSIDERATION 136 Mixed ChernASimons Term. 141 TRACE IDENTITY 143 CONCLUSIONS 151 ACKNOWLEDGEMENTS 152 REFERENCES 153