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Journal : YOUNGSTER PHYSICS JOURNAL

Analisis hamburan kuantum menggunakan diagram Feynman untuk kasus teori ϕ3 Septian Adhi Nugroho; Asep Yoyo Wardaya; Dwi P. Sasongko
Youngster Physics Journal Vol 6, No 1 (2017): Youngster Physics Journal Januari 2017
Publisher : Jurusan Fisika, Fakultas Sains dan Matematika, Universitas Diponegoro

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Abstract

Scattering is the most important key in particle physics. Quantum field theory/ QFT discusses much about scattering of the particles which are reviewed in any dimensions and depend on the lagrangian forms. In this ϕ theory research, lagrangian concept along with the Green function become its based on the calculation of the generating function of Z[J]. The function is a generator when we analyze the forms of Feynman diagram. In the process of the calculation, we will have an infinite series. That function is used to determine the drawing of Feynman diagrams consist of the vertices and propagators. So that the form of diagram may be able to be analyzed. In this research, there will obtain an infinite series which has to be cut to second order for simplicity case. In the first order, we will obtain 2 types of diagram and in the second one we have 8 types of diagram. There are 10 types of the diagram in total which consist of 7 types of connected diagram and 3 types of disconnected diagram.Keywords: scattering, QFT, lagrangian, Green function Feynman diagram, vertice, propagator, infinite series
Perhitungan VEV dari operator Wilson Loop Unknot dari teori Chern-Simons-Witten (CSW) 2+1 dimensi dengan menggunakan teori Braiding dan teori medan kuantum Asep Yoyo Wardaya
Youngster Physics Journal Vol 6, No 2 (2017): Youngster Physics Journal April 2017
Publisher : Jurusan Fisika, Fakultas Sains dan Matematika, Universitas Diponegoro

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Abstract

Concepts of Mathematical (Group theory) and Physics (Quantum Field Theory) sciences have a relationship in many Scientific applications. One example of this relationship is topology field theory such as Jones and HOMFLY polinomials in two space and one time dimensions, which have a connection with the concept of the quantum field theory. In this paper, we investigated  the value of the invarians polynomial at SO(5) group by using braiding group concept that has exact solution. As comparison, Quantum Field Theory concept will be calculated the Vacuum Expectation Value (VEV) of the Wilson loop unknotted operator in Chern-Simons-Witten theory (CSW) 2+1 dimension at the same group that has a convergent power series solution from order 1 / kn (k is a coupling contant). From comparison calculation of invariant polynomial and VEV of SO(5) group, we have the identical result  of them up to 1 / k3 order.Keywords : Invarians Polynomial, CSW, Wilson loop operator, SO(5).
HUBUNGAN ANTARA POLINOMIAL JONES (ASPEK NON-PERTURBATIF) DAN VACUUM EXPECTATION VALUE DARI OPERATOR WILSON LOOP (ASPEK PERTURBATIF) DENGAN MENGGUNAKAN AKSI CHERN SIMONS WITTEN Frangki Leko; Asep Yoyo Wardaya
Youngster Physics Journal Vol 1, No 1 (2012): Youngster Physics Journal Oktober 2012
Publisher : Jurusan Fisika, Fakultas Sains dan Matematika, Universitas Diponegoro

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Abstract

Perturbatif aspect of Chern Simons Witten theory is viewed as value of Vacuum Expectation Value (VEV) of Wilson loop operator while non-perturbatif aspect of Chern Simons Witten theory is viewed as value of Jones Polynomial. Both aspects will be compared. Calculation of Jones Polynomial is counted by using braiding formula concept which later will be applicated to (SU)2 gauge group. VEV calculation of Wilson loop operator is counted by using Feynman’s diagram and by using vertex and propagator values. Both calculations will be counted to second order of coupling constant. The result of this research indicate that value of pertubatif aspect and non-perturbatif aspect is same although both aspects was counted by two different methods. Keyword : Chern Simons Witten, Vacuum Expectation Value, Wilson loop, Jones Polynomial.