تصحیح تابشی انرژی کازیمیر برای میدان اسکالر با شرط مرزی مخلوط در 1+3 بعد

نوع مقاله: مقاله پژوهشی کامل

نویسنده

گروه فیزیک، واحد سمنان، دانشگاه آزاد اسلامی، سمنان، ایران

چکیده

در این مقاله، مرتبه صفرم و مرتبه اول از تصحیح تابشی انرژی کازیمیر برای میدان اسکالر محدود شده با شرط مرزی مخلوط (دیریکله-نیومن) بین دو صفحه موازی در 1+3 بعد محاسبه شده است. دو نکته در فرایند انجام این محاسبه قابل توجه است. یکی از این نکات، استفاده از یک برنامه بازبهنجارش متفاوت و البته سازگار با شرایط مرزی حاکم بر مساله است. در این برنامه بازبهنجارش جهت دستیابی به پارامترهای فیزیکی موجود در لاگرانژی از کانترترمهای سازگار با شرط مرزی و البته وابسته به مکان استفاده می شود. نکته دیگر در فرایند این محاسبه، استفاده از روش منظم سازی کم کردن جعبه ها است. در روش منظم سازی کم کردن جعبه ها، مشابه با ساختار اصلی یک ساختار دیگر در نظر گرفته می شود و اختلاف انرژی های خلا مربوط به این دو ساختار در حدهای مناسب محاسبه می شود. این امر موجب می شود واگراییهای دخیل در محاسبات بنحو شفاف و روشنی یکدیگر را حذف نمایند. پاسخ های بدست آمده برای هر دو مرتبه انرژی کازیمیر در نمودارهای مختلف رسم شده و این نمودارها نشان می دهند که سازگاری مناسب و فیزیکی در پاسخها وجود دارد.

کلیدواژه‌ها


عنوان مقاله [English]

Radiative Correction to The Casimir Energy For Scalar Field with Mixed Boundary Condition in 3 + 1 Dimensions

نویسنده [English]

  • Madad Ali Valuyan
Department of Physics, Semnan Branch, Islamic Azad University, Semnan, Iran
چکیده [English]

In the present study, the zero and first-order radiative correction to the Casimir energy for massive and massless scalar fields confined with mixed boundary conditions (Dirichlet-Neumann) between two parallel plates in ϕ^4 theory were computed. Two issues in performing the calculations in this work are essential: to renormalize the bare parameters of the problem, a systematic method were used, which allowing all influences from the boundary conditions to be imported in all elements of the renormalization program. This idea yields our counterterms appeared in the renormalization program to be position-dependent. Using the Box Subtraction Scheme as a regularization technique is the other noteworthy point in the calculation. In this scheme, by subtracting the vacuum energies of two similar configurations from each other, regularizing divergent expressions and their removal process were significantly facilitated. All the obtained answers for the Casimir energy with the mixed boundary condition were consistent with well-known physical grounds. We also compared the Casimir energy for massive scalar field confined with four types of boundary conditions (Dirichlet, Neumann, mixed of them and Periodic) in 3+1 dimensions with each other, and the sign and magnitude of their values were discussed.

کلیدواژه‌ها [English]

  • Casimir energy
  • Renormalization
  • Boundary condition
  • Regularization
 

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