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ℤ6-II Orbifold Model of the Heterotic String Freddy Permana Zen; Bobby Eka Gunara; Asep Yoyo Wardaya
Jurnal Matematika & Sains Vol 10, No 3 (2005)
Publisher : Institut Teknologi Bandung

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Abstract

We study a ℤ6-II orbifold model which is derived from the ten-dimensional SO(16) × SO(16) heterotic string theory whose the extra six dimensional space is devided by the ℤ6-II rotations. All independent embeddings are classified using both shifting and rotation procedures of an SO(16) × SO(16) root lattice. SO(10) × SU(3) × U(1) × SO(16) models are elucidated as examples among the models.
S-Brane Solutions with Accelerating Cosmology in M-theory Freddy Permana Zen; Arianto Arianto; Bobby Eka Gunara; Selly Feranie
Jurnal Matematika & Sains Vol 11, No 1 (2006)
Publisher : Institut Teknologi Bandung

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Abstract

We study the expansion and accelerated expansion of universe from S-branes of the M-theory. The dynamics of expansion is described by the scale factor of S-brane solutions and equation of state from the S-bran dark energy models. We provide analytic expressions to calculate the equation of state of these models as a function of time. Moreover, we also study cosmological expansion with the intersection solutions, which may have an interesting characteristic, namely, they never obtain the accelerated expansion. The critical expansion is given by the limit β→0.
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

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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).
Analisis Pengaruh Viskositas pada Self-Siphon Nurhayati, Nurhayati; Viridi, Sparisoma; Zen, Freddy Permana
Jurnal Phi: Kurnal Pendidikan Fisika & Terapan Vol 2019, No 1
Publisher : UIN Ar-Raniry

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22373/p-jpft.v2019i1.7438

Abstract

Penelitian ini bertujuan untuk mengetahui pengaruh nilai viskositas terhadap terjadinya aliran fluida pada self-siphon secara simulasi. Simulasi dilakukan dengan mempertimbangkan gaya-gaya yang bekerja pada single fluid volume element (SFVE). Persamaan gerak pada masingmasing segmen diselesaikan dengan menerapkan hukum Newton. Persamaan-persamaan diselesaikan secara numerik dengan metode Euler. Parameter fisika yang divariasikan dalam simulasi adalah nilai viskositas fluida, karena viskositas mempengaruhi aliran fluida dalam pipa. Berdasarkan penelitian, nilai viskositas fluida η berpengaruh pada dinamika sistem (yang digambarkan oleh kurva terjadinya aliran fluida) namun tidak signifikan pada diameter yang berbeda. Pada nilai viskositas η yang besar, diperlukan panjang pipa yang tercelup dalam fluida (L) yang besar pula. Besarnya panjang pipa L akan memperbesar nilai tekanan hidrostatis sehingga terjadi aliran pada self-siphon.
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.
Thin-shell Solution of Chameleon Mechanism in Brans-Dicke Scalar-Tensor Model Azwar Sutiono; Agustina Widiyani; Marliana Marliana; Getbogi Hikmawan; Agus Suroso; Freddy Permana Zen
Indonesian Journal of Physics Vol 33 No 1 (2022): Vol 33 No 1 (2022)
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (277.95 KB) | DOI: 10.5614/itb.ijp.2022.33.1.1

Abstract

We investigated the chameleon screening mechanism in Brans-Dicke scalar-tensor theory. We preserved the fundamental premise of the typical chameleon mechanism, which is that the field is huge in high-density environments but essentially free in low-density environments like the solar system. We discovered thin-shell solutions for a static and spherical symmetric body and demonstrated the model’s applicability to local data.
Compatibility of Einstein-Gauss-Bonnet inflation theory with non-minimal derivative coupling in the constant-roll Naufal Aulia Adam; Getbogi Hikmawan; Freddy Permana Zen
Indonesian Journal of Physics Vol 33 No 1 (2022): Vol 33 No 1 (2022)
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (826.512 KB) | DOI: 10.5614/itb.ijp.2022.33.1.2

Abstract

Inflation is a theory in cosmology that explains that the early universe experienceda very fast expansion in a very short time and is able to explain some cosmological problemsand the presence of gravitational waves generated during the inflation period. Based on theevent GW170817, it was found that c2t = 1, which indicates that the speed of gravitationalwaves is nearly equal to the speed of light. This contradicts several modified theories of gravity,one of which is the Einstein-Gauss-Bonnet theory. This paper examines the compatibility ofEinstein-Gauss-Bonnet inflation theory with the GW170817 phenomenon, with the addition ofthe Non-minimal derivative coupling term and the constant-roll approach and its characteristics.The formulation of observational quantities is carried out using Horndeski theory and EffectiveField Theory with ADM formalism and the calculations are done numerically. The constantvalues are selected in such a way that the spectral index values and tensor-scalar ratios are closeto the 2018 Planck data. The results found that this theory is compatible with GW170817 withthe influence of Gauss-Bonnet term and constant-roll parameter β most dominant.
GW170817 Implementation on Einstein-Gauss-Bonnet Theory with Non Minimal and Non Minimal Derivative Coupling Fitria Khairunnisa; Getbogi Hikmawan; Freddy Permana Zen
Indonesian Journal of Physics Vol 33 No 1 (2022): Vol 33 No 1 (2022)
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (612.572 KB) | DOI: 10.5614/itb.ijp.2022.33.1.3

Abstract

The GW170817 event manifests that gravitational wave velocity is close to thespeed of light. As a result, several theories of gravity are no longer applicable, including EinsteinGauss-Bonnet (EGB) inflation. However, a constraint equation could be applied so that thetheory could produce a viable result. In this study, the EGB inflation is being extended byadding a non-minimal coupling (NMC) and a non-minimal derivative coupling (NMDC). Freeparameters values were evaluated to obtained viability with observational indices. We use powerlaw and exponential Gauss-Bonnet coupling functions. Each model provides observational valuesof ns and r that are compatible with the observations and has its characteristic. It specifiesthe free parameter that controls the alteration of ns and r values. The power-law model iscontrolled by the power m of the Gauss-Bonnet coupling function and the potential integrationconstant, V2. While the exponential model is controlled by the potential integration constant cand the power m of the exponential function. Some approximations do not hold true so that themodels need to be rectified. Apparently, the rectified power-law model is violating null energycondition (NEC), so we also provide the non-violating NEC power-law model.
Study of Entangled K-meson and Its Decoherence Abas Syahbana; Freddy Permana Zen; Donny Dwiputra
Indonesian Journal of Physics Vol 33 No 1 (2022): Vol 33 No 1 (2022)
Publisher : Institut Teknologi Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (780.865 KB) | DOI: 10.5614/itb.ijp.2022.33.1.4

Abstract

In this paper, entangled K-meson model and decoherence phenomenon in thesystem is studied. Using Lindblad equation, dynamical equation of entangled K-meson systemthat interacts with the environment is obtained. We find that non-Hermitian Hamiltonian ofthe system makes completely positive and trace-preserving map (CPT-map) on the space ofdensity matrix does not satisfy trace preserving properties. We also find that purity of densitymatrix can be less than 1=d which does not satisfy the property of purity. From the dynamicalequation, parameters related to the decoherence of the system, decoherence parameter (λ) andeffective decoherence parameter (ζ), are determined. Using Standard Least-Squares method,we obtain ζ = 0; 13±0; 865. This result is in accordance with references result that use effectivevariance method, ζ = 0; 13±+0 -0;;16 15. We show that ζ = 0; 13±+0 -0;;16 15 corresponds with referencesresult, λ = (1; 84±+2 -2;;50 17) × 10-12 MeV. The value of both parameters are close to zero relativeto ζ = 1 or λ ! 1. It means that the interaction between system and environment doesnot affect the system significantly. Therefore, quantum properties in the system related to theentanglement of the strangeness is preserved.