Vacuum Radiation from Massive Scalar Field

oleh: Yu-Song Cao

Format: Article
Diterbitkan: MDPI AG 2022-03-01

Deskripsi

The vacuum radiation of a massive scalar field is studied by means of a single moving mirror. The field equation with an arbitrary-shaped mirror moving in <inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mi>d</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></semantics></math></inline-formula> dimensions is given perturbatively in the non-relativistic limit. Explicit results are obtained for a flat mirror moving in <inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mn>1</mn><mo>+</mo><mn>1</mn><mo>)</mo></mrow></semantics></math></inline-formula> dimensions and <inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mn>3</mn><mo>+</mo><mn>1</mn><mo>)</mo></mrow></semantics></math></inline-formula> dimensions. The vacuum radiation power and vacuum friction force on the mirror are given in <inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mn>1</mn><mo>+</mo><mn>1</mn><mo>)</mo></mrow></semantics></math></inline-formula> dimensions. The intrinsic mass of the field is found to suppress the vacuum radiation. In <inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mn>3</mn><mo>+</mo><mn>1</mn><mo>)</mo></mrow></semantics></math></inline-formula> dimensions, the modification of the frequency spectra and angular spectra of emitted particles due to the intrinsic mass are obtained. In the limit of <inline-formula><math display="inline"><semantics><mrow><mi>m</mi><mo>→</mo><mn>0</mn></mrow></semantics></math></inline-formula>, we recover the results of the massless field.