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Using auxiliary-mass method, O(N) invariant scalar model is investigated atfinite temperature. This mass and an evolution equation allow us to calculatean effective potential without an infrared divergence. Second order phasetransition is indicated by the effective potential. The critical exponents aredetermined numerically.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Critical properties of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">O</mml:mi><mml:mn /><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo><mml:mn /></mml:math>invariant scalar model using the auxiliary-mass method at finite temperature

Critical properties of theO(N)invariant scalar model using the auxiliary-mass method at finite temperature