Download A Dream of Ice (Earthend Saga Series, Book 2) by Jeff Rovin, Gillian Anderson PDF

By Jeff Rovin, Gillian Anderson

From Gillian Anderson, celebrity of the X-Files, and big apple occasions bestselling coauthor Jeff Rovin comes the second one booklet within the exciting paranormal sequence Earthend Saga that all started with A imaginative and prescient of fireside, which Marie Claire referred to as "addictive!"
After uncovering a paranormal hyperlink to the traditional civilization of Galderkhaan, baby psychologist Caitlin O'Hara is left with unusual new powers. by surprise she will heal her younger sufferers together with her brain and spot issues from different locations and different instances. yet as she learns extra approximately her powers, she additionally realizes that somebody is looking at her, possibly searching her—and utilizing her son to do it.

Meanwhile Mikel Jasso, a box agent for a mysterious study association, is looking for Galderkhaani ruins in Antarctica. After falling down a crevasse, he discovers the full urban has been preserved less than ice and that the mysterious stone artifacts he's been gathering should not as primitive as he idea. As Mikel and Caitlin paintings to discover the mysteries of the Galderkhaani, they become aware of that the individual searching Caitlin and the stones could be hooked up in methods they by no means knew possible.

"Fans of Douglas Preston and Lincoln baby will discover a lot to like" (Publishers Weekly) within the Earthend Saga, and this newest event is certain to go away you gasping for breath as Caitlin races opposed to time to save lots of what's dearest to her center.

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76)). (ii) In the first order, differentiation gives S (1) [ϕ0 ] = g −i 4! d 4 x ϕ04 (x) + 6Dc (0) d 4 x ϕ02 (x) + 3iDc2 (0) d4x . 119) Path-integral formulation of the simplest quantum field theories 25 (iii) The second-order term has the form: 1 g 2 d 4 x d 4 y [ϕ04 (x)ϕ04 (y) + 16iϕ03 (x)ϕ03 (y)Dc (x − y) 2 4! − 72ϕ02 (x)ϕ02 (y)Dc2 (x − y) − i96ϕ0 (x)ϕ0(y)Dc3 (x − y) + 24Dc4 (x − y) S (2) [ϕ0 ] = − + 12iϕ02 (x)ϕ04 (y)Dc (0) − 6ϕ04 (y)Dc2 (0) − 96ϕ0 (x)ϕ03(y)Dc (x − y)Dc (0) − 36ϕ02 (x)ϕ02 (y)Dc2 (0) − 144iϕ02(y)Dc2 (x − y)Dc (0) − 36iϕ02 (y)Dc3 (0) − 144iϕ0(x)ϕ0 (y)Dc (x − y)Dc2 (0) + 72Dc2 (x − y)Dc2 (0)].

As seen from our short discussion, once the Dyson–Schwinger equation (or Ward–Takahashi identity) is derived from the path integral for generating functionals, further functional manipulations (transitions to connected, OPI Green functions etc) have no direct relationship with the main object of this book, the path integral. , Itzykson and Zuber (1980) and Vasiliev (1998)). However, we shall meet important concrete applications of these methods combined with the path-integral formalism in the subsequent sections.

126) Quantum field theory: the path-integral approach 28 where Z ϕ is the field renormalization constant and we assumed for simplicity that all pi = k j (in the general case, additional terms corresponding to zero scattering angle appear). Analogous formulae exist for any other fields (with higher spin). 1. 99)): def [ J (x)] ≡ S[ϕ0 ; J ]|ϕ0 =0 = d 4 x [Ä(ϕ(x)) + J (x)ϕ(x)] . 125) for the field theory with arbitrary (self-) interaction terms defined by the Lagrangian density Ä(ϕ(x)). 2, page 39).

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