Maxwell-Chern-Simons Casimir Entropy

In1948, Casimir predicted that two conducting parallel plates placed in the vacuum willexperience an attractive force. This effect is a macroscopic manifestation of quantum fieldtheory. Zero-point fluctuations in quantum fields give rise to observable forces betweenmaterial bodies, the so-called Casimir forces. With the development of the Casimir effect, thecalculation of more complex situation is performed. Interest in the effect has increased in thepast few years.Path integral method is the third expression of quantum mechanics proposed byFeynman in1942. In this paper, the functional integral method has been used so that we cansee the contribution of each components of the gauge field to the vacuum energy moreclearly. Abstract In this paper, the Casimir entropy of Maxwell-Chern-Simons Abeliangauge field is discussed at nonzero temperature between two parallel ideal conducting wiresby using the Feynman path integral method. The limiting cases for low and hightemperature for the Casimir entropy are separately considered. We obtain Casimir entropyin the case of massless limit. The results show that the Casimir entropy is equal to zero atzero temperature, i.e., the third law of thermodynamics is satisfied.