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All Journal Jurnal Matematika & Sains Journal of Mathematical and Fundamental Sciences Jurnal Telematika Indonesian Journal of Physics (IJP)
Jusak Sali Kosasih
Indonesian Center For Theoretical And Mathematical Physics, Institut Teknologi Bandung
Astronomy Chemistry Computer Science & IT Earth & Planetary Sciences Electrical & Electronics Engineering Energy Engineering Mathematics Physics

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 1 
Relation Between Topological Field Theory and Quantum Field Theory Asep Yoyo Wardaya; Freddy Permana Zen; Jusak Sali Kosasih; Triyanta Triyanta
Jurnal Matematika & Sains Vol 17, No 3 (2012)
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Mathematical and physical sciences are very interconnected in many problems of research. Usually the mathematical science is a tool in physics research. However, certain case of two space and one time dimensions of topology field theory, such as Jones and HOMFLY polynomials, can be computed by using quantum field theory method. In this paper, first, we investigate polynomial invariants of SO(3) group case by using braiding group concept. By using group concept, this polynomial has an exact solution. Next, its solution will be compared by using calculation of vacuum expectation value (VEV) of unknotted Wilson loop operators in 2+1 Chern-Simons-Witten (CSW) theory with the same group. The above VEV is computed by quantum field theory method  that has convergent series solution form as function of coupling constant order. The computation result, up to third order shows that the VEV of SO(3) group is identical to the polynomial invariants in the same group. Kata Kunci : Polynomial invariants, CSW, Wilson loop operators, SO(3).   Hubungan Antara Teori Medan Topologi dan Teori Medan Quantum Theory Abstrak Hubungan antara ilmu matematika dan fisika sangat terjalin erat dalam beberapa masalah penelitian. Posisi dari ilmu matematika biasanya sebagai alat dalam penelitian fisika. Tetapi pada kasus-kasus tertentu dari teori medan topologi seperti polinomial-polinomial Jones dan HOMFLY dalam dua dimensi ruang dan satu dimensi waktu, ternyata dapat dihitung dengan menggunakan metode teori medan kuantum. Pada makalah ini, pertama akan diselidiki polinomial invarian pada kasus grup SO(3) dengan menggunakan konsep grup braiding. Dengan menggunakan konsep grup murni, solusi dari polinomial ini adalah eksak. Selanjutnya solusi tersebut akan dibandingkan dengan perhitungan nilai harap vakum (VEV) dari operator unknotted loop Wilson dalam teori Chern-Simons-Witten (CSW) 2+1 dimensi pada grup yang sama. Perhitungan VEV tersebut menggunakan metode teori medan kuantum dengan solusi deret yang konvergen sebagai fungsi dari kopling orde konstan. Hasil perhitungan sampai orde ketiga memperlihatkan bahwa VEV dari grup SO(3) adalah identik dengan polinomial invarian pada grup yang sama. Kata kunci : Polinomial invarian, CSW, Operator loop Wilson, SO(3).
Path Independence in Adiabatic Quantum Computing for Hadamard Gate Jusak Sali Kosasih; S. Suhadi; Freddy Permana Zen
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 1 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2014.46.1.3

Abstract

The computation time in adiabatic quantum computing (AQC) is determined by the time limit of the adiabatic evolution, which in turn depends on the evolution path. In this research we have used the variational method to find an optimized path. For the simplest case involving a single qubit and for the most general path involving one or more independent interpolating functions, the result is path independent. This result does not change when there is an extra Hamiltonian term. We have also applied these two scenarios in AQC to a Hadamard gate. Adding an extra Hamiltonian gives a non-trivial result compared to the normal AQC, however it does not result in a speed-up. Moreover, we show that in these two scenarios we can choose an arbitrary path provided that it satisfies the boundary conditions.
On The Double-Vacua Duality of Multi-Scalar Higgs and NGB-Dual Higgses in Scherk-Schwarz Breaking of 5-dimensional SU(6) Symmetry Jusak Sali Kosasih; Andreas Hartanto; Laksana Tri Handoko; Freddy Permana Zen
Journal of Mathematical and Fundamental Sciences Vol. 46 No. 2 (2014)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2014.46.2.3

Abstract

A special condition of Scherk-Schwarz and S^1/Z2 orbifold breaking brings about both a weakly-coupled SU(6) baby Higgs and a strongly-coupled will-be simplest little Higgs scalar in the near-brane of SU(3) x SU(3)x U(1). The latter produces SU(3) VEVs and simplest little-like Higgs after triplet-triplet splitting and, under quadratic-based and non-quadratic-based Coleman-Weinberg potential, the simplest little-like Higgs yields exotic Higgses, scalar-pair and 3-scalar Higgses in the so-called one-by-one and collective breakings. A generalized non-quadratic-based Coleman-Weinberg potential utilizing a NGB-like scalar produces NGB-dual Higgses with a squared mass relevant to the components of a 3-scalar Higgs that further create a duality of 3-scalar Higgs and NGB-dual Higgses. This is due to a double-vacua property such that each vacuum responds equally to the shifts happening at either non-zero or zero-VEV vacuum.
PERANCANGAN ALGORITMA SIMULATED ANNEALING UNTUK RUTE KENDARAAN YANG MEMPERTIMBANGKAN BACKHAUL,RUTE MAJEMUK, DAN TIME WINDOW Cahyadi, Ferdian; Ong, Johan Oscar; Kosasih, Jusak Sali
Jurnal Telematika Vol. 7 No. 1 (2011)
Publisher : Yayasan Petra Harapan Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61769/telematika.v7i1.53

Abstract

Vehicle Routing Problem (VRP) menjadi hal yang sangat penting dalam masalah  pendistribusian barang, karena perusahaan ingin mencapai hasil yang seefektif dan seefisien mungkin agar biaya yang dikeluarkan dapat diperkecil. Dalam VRP, perlu diperhatikan juga jumlah kendaraan yang digunakan dan waktu bongkar muat (loading/unloading) di tempat pelanggan, hal itu yang menjadi pembatas dalam VRP.Tujuan dari jurnal ini adalah untuk menyelesaikan masalah rute kendaraan yang  mempertimbangkan backhaul, rute majemuk (multiple trips), dan time window atau yang dikenal dengan model/varian VRPBMTTW, dan akan menghitung jumlah kendaraan, total duration time (TDT), dan range of duration time (RDT). Untuk memecahkan masalah ini digunakan teknik Simulated Annealing (SA) yang merupakan suatu pendekatan algoritma yang efisien untuk memecahkan masalah optimasi kombinatorial yang sulit. Solusi awal ditingkatkan berulang-kali dengan membuat perubahan kecil hingga ditemukan solusi yang lebih baik. Vehicle Routing Problem (VRP) become very important in the problem of distribution of goods, because the company wants to achieve results effectively and efficiently as possible so the costcan be reduced. In VRP, the number of vehicles used and the time of loading and unloading at the customer site, need to be considered too, it is a constraint in the VRP. The purpose of this journal is to solve the vehicle routing problem considering backhaul, multiple trips, and the time window, known as the model/variant VRPBMTTW, and will count the number of vehicles, the total duration time (TDT), and range of duration time (RDT). To solve this problem used technique Simulated Annealing (SA) which is an efficient algorithm approach to solve difficult combinatorial optimization problems. Initial solution repeatedly improved by making small changes to find a better solution. Keywords— Vehicle Routing Problem, Backhaul, Multiple Trip, Time Window, Simulated Annealing
Faddeev-Popov Ghost and BRST Symmetry in Yang-Mills Theory Yanuwar, Edyharto; Kosasih, Jusak Sali
Indonesian Journal of Physics Vol 31 No 1 (2020): Vol 31 No 1 (2020)
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (202.859 KB) | DOI: 10.5614/itb.ijp.2020.31.1.5

Abstract

Ghost fields arise from the quantization of the gauge field with constraints (gauge fixing) through the path integral method. By substituting a form of identity, an effective propagator will be obtained from the gauge field with constraints and this is called the Faddeev-Popov method. The Grassmann odd properties of the ghost field cause the gauge transformation parameter to be Grassmann odd, so a BRST transformation is defined. Ghost field emergence with Grassmann odd properties can also be obtained through the least action principle with gauge transformation, and thus the relations between the BRST transformation parameters and the ghost field is obtained.
Co-Authors Andreas Hartanto Asep Yoyo Wardaya Cahyadi, Ferdian Freddy Permana Zen Johan Oscar Ong Laksana Tri Handoko S. Suhadi Triyanta Triyanta Yanuwar, Edyharto