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On Minkowski Functionals of CMB polarization
Chingangbam, Pravabati,Ganesan, Vidhya,Yogendran, K.P.,Park, Changbom Elsevier 2017 Physics letters: B Vol.771 No.-
<P><B>Abstract</B></P> <P>CMB polarization data is usually analyzed using <I>E</I> and <I>B</I> modes because they are scalar quantities under rotations along the lines of sight and have distinct physical origins. We explore the possibility of using the Stokes parameters <I>Q</I> and <I>U</I> for complementary analysis and consistency checks in the context of searches for non-Gaussianity. We show that the Minkowski Functionals (MFs) of <I>Q</I>, <I>U</I> are invariant under local rotations along the lines of sight even though <I>Q</I>, <I>U</I> are spin-2 variables, for full sky analysis. The invariance does not hold for incomplete sky. For local type primordial non-Gaussianity, when we compare the non-Gaussian deviations of MFs for <I>Q</I>, <I>U</I> to what is obtained for <I>E</I> mode or temperature fluctuations, we find that the amplitude is about an order of magnitude lower and the shapes of the deviations are different. This finding can be useful in distinguishing local type non-Gaussianity from other origins of non-Gaussianity in the observed data. Lastly, we analyze the sensitivity of the amplitudes of the MFs for <I>Q</I>, <I>U</I> and the number density of singularities of the total polarization intensity to the tensor-to-scalar ratio, <I>r</I>, and find that all of them decrease as <I>r</I> increases.</P>
A New Phase at a Finite Quark Density from AdS/CFT
Shin Nakamura,서윤석,K. P. Yogendran,신상진 한국물리학회 2008 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.52 No.6
We explore the phases of the N=2 super Yang-Mills theory at a finite quark density by introducing a quark chemical potential in a D3-D7 setup. We formulate the thermodynamics of brane embeddings and we find that the density versus chemical potential equation of state has a rich structure. This yields distinct first-order phase transitions in a small window of the quark density. In other words, there is a new first-order phase transition in the region of deconfined quarks. In this new phase, the chemical potential is a decreasing function of the density. We suggest that this might be relevant to the difference in the sQGP-wQGP phases of QCD. We explore the phases of the N=2 super Yang-Mills theory at a finite quark density by introducing a quark chemical potential in a D3-D7 setup. We formulate the thermodynamics of brane embeddings and we find that the density versus chemical potential equation of state has a rich structure. This yields distinct first-order phase transitions in a small window of the quark density. In other words, there is a new first-order phase transition in the region of deconfined quarks. In this new phase, the chemical potential is a decreasing function of the density. We suggest that this might be relevant to the difference in the sQGP-wQGP phases of QCD.